factoring quadratic equations objective: to factor a quadratic expression and to use factoring to...
TRANSCRIPT
![Page 1: Factoring Quadratic Equations Objective: To factor a quadratic expression and to use factoring to solve quadratic equations](https://reader036.vdocuments.site/reader036/viewer/2022081414/5513faf6550346d8488b4614/html5/thumbnails/1.jpg)
Factoring Quadratic Equations
Objective: To factor a quadratic expression and to use factoring to
solve quadratic equations.
![Page 2: Factoring Quadratic Equations Objective: To factor a quadratic expression and to use factoring to solve quadratic equations](https://reader036.vdocuments.site/reader036/viewer/2022081414/5513faf6550346d8488b4614/html5/thumbnails/2.jpg)
![Page 3: Factoring Quadratic Equations Objective: To factor a quadratic expression and to use factoring to solve quadratic equations](https://reader036.vdocuments.site/reader036/viewer/2022081414/5513faf6550346d8488b4614/html5/thumbnails/3.jpg)
Factoring
• We will be factoring many different types of quadratic equations. The first type we will look at is an expression containing two or more terms.
![Page 4: Factoring Quadratic Equations Objective: To factor a quadratic expression and to use factoring to solve quadratic equations](https://reader036.vdocuments.site/reader036/viewer/2022081414/5513faf6550346d8488b4614/html5/thumbnails/4.jpg)
Factoring
• We will be factoring many different types of quadratic equations. The first type we will look at is an expression containing two or more terms.
• The first thing that you will always do is to factor out the greatest common factor.
![Page 5: Factoring Quadratic Equations Objective: To factor a quadratic expression and to use factoring to solve quadratic equations](https://reader036.vdocuments.site/reader036/viewer/2022081414/5513faf6550346d8488b4614/html5/thumbnails/5.jpg)
Example 1
![Page 6: Factoring Quadratic Equations Objective: To factor a quadratic expression and to use factoring to solve quadratic equations](https://reader036.vdocuments.site/reader036/viewer/2022081414/5513faf6550346d8488b4614/html5/thumbnails/6.jpg)
Example 1
![Page 7: Factoring Quadratic Equations Objective: To factor a quadratic expression and to use factoring to solve quadratic equations](https://reader036.vdocuments.site/reader036/viewer/2022081414/5513faf6550346d8488b4614/html5/thumbnails/7.jpg)
Example 1
![Page 8: Factoring Quadratic Equations Objective: To factor a quadratic expression and to use factoring to solve quadratic equations](https://reader036.vdocuments.site/reader036/viewer/2022081414/5513faf6550346d8488b4614/html5/thumbnails/8.jpg)
Try This
• Factor each quadratic expression.
xx 155 2 xxx )12(4)12(
![Page 9: Factoring Quadratic Equations Objective: To factor a quadratic expression and to use factoring to solve quadratic equations](https://reader036.vdocuments.site/reader036/viewer/2022081414/5513faf6550346d8488b4614/html5/thumbnails/9.jpg)
Try This
• Factor each quadratic expression.
)3(5
355
155 2
xx
xxx
xx xxx )12(4)12(
![Page 10: Factoring Quadratic Equations Objective: To factor a quadratic expression and to use factoring to solve quadratic equations](https://reader036.vdocuments.site/reader036/viewer/2022081414/5513faf6550346d8488b4614/html5/thumbnails/10.jpg)
Try This
• Factor each quadratic expression.
)3(5
355
155 2
xx
xxx
xx)4)(12(
)12(4)12(
xx
xxx
![Page 11: Factoring Quadratic Equations Objective: To factor a quadratic expression and to use factoring to solve quadratic equations](https://reader036.vdocuments.site/reader036/viewer/2022081414/5513faf6550346d8488b4614/html5/thumbnails/11.jpg)
Factoring ax2 + bx + c
• We will now look at factoring quadratic expressions where a is 1 and c is positive.
![Page 12: Factoring Quadratic Equations Objective: To factor a quadratic expression and to use factoring to solve quadratic equations](https://reader036.vdocuments.site/reader036/viewer/2022081414/5513faf6550346d8488b4614/html5/thumbnails/12.jpg)
Factoring ax2 + bx + c
• We will now look at factoring quadratic expressions where a is 1 and c is positive.
• We will start each problem by looking at factors of c.
![Page 13: Factoring Quadratic Equations Objective: To factor a quadratic expression and to use factoring to solve quadratic equations](https://reader036.vdocuments.site/reader036/viewer/2022081414/5513faf6550346d8488b4614/html5/thumbnails/13.jpg)
Factoring ax2 + bx + c
• We will now look at factoring quadratic expressions where a is 1 and c is positive.
• We will start each problem by looking at factors of c.• We want these factors to add together to equal b.
![Page 14: Factoring Quadratic Equations Objective: To factor a quadratic expression and to use factoring to solve quadratic equations](https://reader036.vdocuments.site/reader036/viewer/2022081414/5513faf6550346d8488b4614/html5/thumbnails/14.jpg)
Factoring ax2 + bx + c
• We will now look at factoring quadratic expressions where a is 1 and c is positive.
• We will start each problem by looking at factors of c.• We want these factors to add together to equal b.
• We want factors of c that add together to equal b.
![Page 15: Factoring Quadratic Equations Objective: To factor a quadratic expression and to use factoring to solve quadratic equations](https://reader036.vdocuments.site/reader036/viewer/2022081414/5513faf6550346d8488b4614/html5/thumbnails/15.jpg)
Factoring ax2 + bx + c
• We will now look at factoring quadratic expressions where a is 1 and c is positive.
• We will start each problem by looking at factors of c.• We want these factors to add together to equal b.• If b is positive, both terms will be ( x + ) and if b is
negative, both terms will be (x - ).
![Page 16: Factoring Quadratic Equations Objective: To factor a quadratic expression and to use factoring to solve quadratic equations](https://reader036.vdocuments.site/reader036/viewer/2022081414/5513faf6550346d8488b4614/html5/thumbnails/16.jpg)
Factoring
• Factor the following. 1272 xx
![Page 17: Factoring Quadratic Equations Objective: To factor a quadratic expression and to use factoring to solve quadratic equations](https://reader036.vdocuments.site/reader036/viewer/2022081414/5513faf6550346d8488b4614/html5/thumbnails/17.jpg)
Factoring
• Factor the following.
• We are looking for factors of 12 that add together to equal 7.
1272 xx
![Page 18: Factoring Quadratic Equations Objective: To factor a quadratic expression and to use factoring to solve quadratic equations](https://reader036.vdocuments.site/reader036/viewer/2022081414/5513faf6550346d8488b4614/html5/thumbnails/18.jpg)
Factoring
• Factor the following.
• We are looking for factors of 12 that add together to equal 7.
• The factors of 12 are:
1272 xx
43
62
121
![Page 19: Factoring Quadratic Equations Objective: To factor a quadratic expression and to use factoring to solve quadratic equations](https://reader036.vdocuments.site/reader036/viewer/2022081414/5513faf6550346d8488b4614/html5/thumbnails/19.jpg)
Factoring
• Factor the following.
• We are looking for factors of 12 that add together to equal 7.
• The factors of 12 are:
1272 xx
43
62
121
)4)(3( xx
![Page 20: Factoring Quadratic Equations Objective: To factor a quadratic expression and to use factoring to solve quadratic equations](https://reader036.vdocuments.site/reader036/viewer/2022081414/5513faf6550346d8488b4614/html5/thumbnails/20.jpg)
You Try
• Factor the following. 1892 xx
![Page 21: Factoring Quadratic Equations Objective: To factor a quadratic expression and to use factoring to solve quadratic equations](https://reader036.vdocuments.site/reader036/viewer/2022081414/5513faf6550346d8488b4614/html5/thumbnails/21.jpg)
You Try
• Factor the following.
• We are looking for factors of 18 that add together to equal 9.
• The factors of 18 are:
1892 xx
63
92
181
![Page 22: Factoring Quadratic Equations Objective: To factor a quadratic expression and to use factoring to solve quadratic equations](https://reader036.vdocuments.site/reader036/viewer/2022081414/5513faf6550346d8488b4614/html5/thumbnails/22.jpg)
You Try
• Factor the following.
• We are looking for factors of 18 that add together to equal 9.
• The factors of 18 are:
1892 xx
63
92
181
)6)(3( xx
![Page 23: Factoring Quadratic Equations Objective: To factor a quadratic expression and to use factoring to solve quadratic equations](https://reader036.vdocuments.site/reader036/viewer/2022081414/5513faf6550346d8488b4614/html5/thumbnails/23.jpg)
Example
• Factor the following. 32122 xx
![Page 24: Factoring Quadratic Equations Objective: To factor a quadratic expression and to use factoring to solve quadratic equations](https://reader036.vdocuments.site/reader036/viewer/2022081414/5513faf6550346d8488b4614/html5/thumbnails/24.jpg)
Example
• Factor the following.
• We are looking for factors of 32 that add together to equal 12.
• The factors of 32 are:
32122 xx
84
162
321
![Page 25: Factoring Quadratic Equations Objective: To factor a quadratic expression and to use factoring to solve quadratic equations](https://reader036.vdocuments.site/reader036/viewer/2022081414/5513faf6550346d8488b4614/html5/thumbnails/25.jpg)
Example
• Factor the following.
• We are looking for factors of 32 that add together to equal 12.
• The factors of 18 are:
32122 xx
84
162
321
)4)(8( xx
![Page 26: Factoring Quadratic Equations Objective: To factor a quadratic expression and to use factoring to solve quadratic equations](https://reader036.vdocuments.site/reader036/viewer/2022081414/5513faf6550346d8488b4614/html5/thumbnails/26.jpg)
You Try
• Factor the following. 28112 xx
![Page 27: Factoring Quadratic Equations Objective: To factor a quadratic expression and to use factoring to solve quadratic equations](https://reader036.vdocuments.site/reader036/viewer/2022081414/5513faf6550346d8488b4614/html5/thumbnails/27.jpg)
You Try
• Factor the following.
• We are looking for factors of 28 that add together to equal 11.
• The factors of 28 are:
28112 xx
74
142
281
![Page 28: Factoring Quadratic Equations Objective: To factor a quadratic expression and to use factoring to solve quadratic equations](https://reader036.vdocuments.site/reader036/viewer/2022081414/5513faf6550346d8488b4614/html5/thumbnails/28.jpg)
You Try
• Factor the following.
• We are looking for factors of 28 that add together to equal 11.
• The factors of 28 are:
28112 xx
74
142
281
)4)(7( xx
![Page 29: Factoring Quadratic Equations Objective: To factor a quadratic expression and to use factoring to solve quadratic equations](https://reader036.vdocuments.site/reader036/viewer/2022081414/5513faf6550346d8488b4614/html5/thumbnails/29.jpg)
Factoring
• We will now look at expressions where c is negative.
• Now we will say factors of c that are different by b.
• The larger factor has the same sign as b.
![Page 30: Factoring Quadratic Equations Objective: To factor a quadratic expression and to use factoring to solve quadratic equations](https://reader036.vdocuments.site/reader036/viewer/2022081414/5513faf6550346d8488b4614/html5/thumbnails/30.jpg)
Factoring
• Factor the following. 3072 xx
![Page 31: Factoring Quadratic Equations Objective: To factor a quadratic expression and to use factoring to solve quadratic equations](https://reader036.vdocuments.site/reader036/viewer/2022081414/5513faf6550346d8488b4614/html5/thumbnails/31.jpg)
Factoring
• Factor the following.
• We are looking for factors of 30 that are different by 7.
• The factors of 30 are:
3072 xx
65
103
152
301
![Page 32: Factoring Quadratic Equations Objective: To factor a quadratic expression and to use factoring to solve quadratic equations](https://reader036.vdocuments.site/reader036/viewer/2022081414/5513faf6550346d8488b4614/html5/thumbnails/32.jpg)
Factoring
• Factor the following.
• We are looking for factors of 30 that are different by 7.
• The factors of 30 are:
3072 xx
65
103
152
301
)3)(10( xx
![Page 33: Factoring Quadratic Equations Objective: To factor a quadratic expression and to use factoring to solve quadratic equations](https://reader036.vdocuments.site/reader036/viewer/2022081414/5513faf6550346d8488b4614/html5/thumbnails/33.jpg)
You Try
• Factor the following. 2762 xx
![Page 34: Factoring Quadratic Equations Objective: To factor a quadratic expression and to use factoring to solve quadratic equations](https://reader036.vdocuments.site/reader036/viewer/2022081414/5513faf6550346d8488b4614/html5/thumbnails/34.jpg)
You Try
• Factor the following.
• We are looking for factors of 27 that are different by 6.
• The factors of 27 are:
2762 xx
93
271
![Page 35: Factoring Quadratic Equations Objective: To factor a quadratic expression and to use factoring to solve quadratic equations](https://reader036.vdocuments.site/reader036/viewer/2022081414/5513faf6550346d8488b4614/html5/thumbnails/35.jpg)
You Try
• Factor the following.
• We are looking for factors of 27 that are different by 6.
• The factors of 27 are:
2762 xx
93
271
)3)(9( xx
![Page 36: Factoring Quadratic Equations Objective: To factor a quadratic expression and to use factoring to solve quadratic equations](https://reader036.vdocuments.site/reader036/viewer/2022081414/5513faf6550346d8488b4614/html5/thumbnails/36.jpg)
Factoring
• We will now look at factoring when a is not 1. • If c is positive, we are looking for the outer and inner
to add together to equal b.• If c is negative, we are looking for the outer and inner
to be different by b.• We need to start with factors of a. We will always
choose the factors that are closet to each other.
![Page 37: Factoring Quadratic Equations Objective: To factor a quadratic expression and to use factoring to solve quadratic equations](https://reader036.vdocuments.site/reader036/viewer/2022081414/5513faf6550346d8488b4614/html5/thumbnails/37.jpg)
Factoring
• Factor the following. 3116 2 xx
![Page 38: Factoring Quadratic Equations Objective: To factor a quadratic expression and to use factoring to solve quadratic equations](https://reader036.vdocuments.site/reader036/viewer/2022081414/5513faf6550346d8488b4614/html5/thumbnails/38.jpg)
Factoring
• Factor the following.
• We are looking for the outer and inner to add together to be 11.
• We will start with 2 and 3.
3116 2 xx
) 2)( 3( xx
![Page 39: Factoring Quadratic Equations Objective: To factor a quadratic expression and to use factoring to solve quadratic equations](https://reader036.vdocuments.site/reader036/viewer/2022081414/5513faf6550346d8488b4614/html5/thumbnails/39.jpg)
Factoring
• Factor the following.
• We are looking for the outer and inner to add together to be 11.
• We will start with 2 and 3.
• The outer is 3x and the inner is 6x. Do not add to equal 11.
3116 2 xx
)1 2)(3 3( xx
![Page 40: Factoring Quadratic Equations Objective: To factor a quadratic expression and to use factoring to solve quadratic equations](https://reader036.vdocuments.site/reader036/viewer/2022081414/5513faf6550346d8488b4614/html5/thumbnails/40.jpg)
Factoring
• Factor the following.
• We are looking for the outer and inner to add together to be 11.
• We will start with 2 and 3.
• The outer is 9x and the inner is 2x. Does add to equal 11.
3116 2 xx
)3 2)(1 3( xx
![Page 41: Factoring Quadratic Equations Objective: To factor a quadratic expression and to use factoring to solve quadratic equations](https://reader036.vdocuments.site/reader036/viewer/2022081414/5513faf6550346d8488b4614/html5/thumbnails/41.jpg)
Factoring
• Factor the following.
• We are looking for the outer and inner to add together to be 11.
• We will start with 2 and 3.
• The outer is 9x and the inner is 2x. Does add to equal 11.
3116 2 xx
)32)(13( xx
![Page 42: Factoring Quadratic Equations Objective: To factor a quadratic expression and to use factoring to solve quadratic equations](https://reader036.vdocuments.site/reader036/viewer/2022081414/5513faf6550346d8488b4614/html5/thumbnails/42.jpg)
You Try
• Factor the following. 20113 2 xx
![Page 43: Factoring Quadratic Equations Objective: To factor a quadratic expression and to use factoring to solve quadratic equations](https://reader036.vdocuments.site/reader036/viewer/2022081414/5513faf6550346d8488b4614/html5/thumbnails/43.jpg)
You Try
• Factor the following.
• We are looking for the outer and inner to be different by 11.
• We will start with 1 and 3.
20113 2 xx
) 3)( ( xx
![Page 44: Factoring Quadratic Equations Objective: To factor a quadratic expression and to use factoring to solve quadratic equations](https://reader036.vdocuments.site/reader036/viewer/2022081414/5513faf6550346d8488b4614/html5/thumbnails/44.jpg)
You Try
• Factor the following.
• We are looking for the outer and inner to be different by 11.
• We will start with 1 and 3.
• The outer is 5x and the inner is 12x. Is not different by 11.
20113 2 xx
) 5 3)( 4 ( xx
![Page 45: Factoring Quadratic Equations Objective: To factor a quadratic expression and to use factoring to solve quadratic equations](https://reader036.vdocuments.site/reader036/viewer/2022081414/5513faf6550346d8488b4614/html5/thumbnails/45.jpg)
You Try
• Factor the following.
• We are looking for the outer and inner to be different by 11.
• We will start with 1 and 3.
• The outer is 4x and the inner is 15x. Is different by 11.
20113 2 xx
)4 3)(5 ( xx
![Page 46: Factoring Quadratic Equations Objective: To factor a quadratic expression and to use factoring to solve quadratic equations](https://reader036.vdocuments.site/reader036/viewer/2022081414/5513faf6550346d8488b4614/html5/thumbnails/46.jpg)
You Try
• Factor the following.
• We are looking for the outer and inner to be different by 11.
• We will start with 1 and 3.
• The outer is 4x and the inner is 15x. Is different by 11.
20113 2 xx
)4 3)(5 ( xx
)43)(5( xx
![Page 47: Factoring Quadratic Equations Objective: To factor a quadratic expression and to use factoring to solve quadratic equations](https://reader036.vdocuments.site/reader036/viewer/2022081414/5513faf6550346d8488b4614/html5/thumbnails/47.jpg)
The Difference of Two Squares
• The word different means subtraction. When two perfect squares are being subtracted, there is a special way to factor this.
))((22 bababa
![Page 48: Factoring Quadratic Equations Objective: To factor a quadratic expression and to use factoring to solve quadratic equations](https://reader036.vdocuments.site/reader036/viewer/2022081414/5513faf6550346d8488b4614/html5/thumbnails/48.jpg)
The Difference of Two Squares
• Factor the following.
92 x
![Page 49: Factoring Quadratic Equations Objective: To factor a quadratic expression and to use factoring to solve quadratic equations](https://reader036.vdocuments.site/reader036/viewer/2022081414/5513faf6550346d8488b4614/html5/thumbnails/49.jpg)
The Difference of Two Squares
• Factor the following.
92 x
)3)(3( xx
![Page 50: Factoring Quadratic Equations Objective: To factor a quadratic expression and to use factoring to solve quadratic equations](https://reader036.vdocuments.site/reader036/viewer/2022081414/5513faf6550346d8488b4614/html5/thumbnails/50.jpg)
You Try
• Factor the following.
162 x
![Page 51: Factoring Quadratic Equations Objective: To factor a quadratic expression and to use factoring to solve quadratic equations](https://reader036.vdocuments.site/reader036/viewer/2022081414/5513faf6550346d8488b4614/html5/thumbnails/51.jpg)
You Try
• Factor the following.
162 x
)4)(4( xx
![Page 52: Factoring Quadratic Equations Objective: To factor a quadratic expression and to use factoring to solve quadratic equations](https://reader036.vdocuments.site/reader036/viewer/2022081414/5513faf6550346d8488b4614/html5/thumbnails/52.jpg)
You Try
• Factor the following.
254 2 x
![Page 53: Factoring Quadratic Equations Objective: To factor a quadratic expression and to use factoring to solve quadratic equations](https://reader036.vdocuments.site/reader036/viewer/2022081414/5513faf6550346d8488b4614/html5/thumbnails/53.jpg)
You Try
• Factor the following.
254 2 x
)52)(52( xx
![Page 54: Factoring Quadratic Equations Objective: To factor a quadratic expression and to use factoring to solve quadratic equations](https://reader036.vdocuments.site/reader036/viewer/2022081414/5513faf6550346d8488b4614/html5/thumbnails/54.jpg)
Factoring Perfect Squares
• If the first term and last term are both perfect squares, you should see if the trinomial factors as a perfect square.
![Page 55: Factoring Quadratic Equations Objective: To factor a quadratic expression and to use factoring to solve quadratic equations](https://reader036.vdocuments.site/reader036/viewer/2022081414/5513faf6550346d8488b4614/html5/thumbnails/55.jpg)
Factoring Perfect Squares
• If the first term and last term are both perfect squares, you should see if the trinomial factors as a perfect square.
222 )(2 bababa
222 )(2 bababa
![Page 56: Factoring Quadratic Equations Objective: To factor a quadratic expression and to use factoring to solve quadratic equations](https://reader036.vdocuments.site/reader036/viewer/2022081414/5513faf6550346d8488b4614/html5/thumbnails/56.jpg)
Factoring Perfect Squares
• Factor the following.
36122 xx
![Page 57: Factoring Quadratic Equations Objective: To factor a quadratic expression and to use factoring to solve quadratic equations](https://reader036.vdocuments.site/reader036/viewer/2022081414/5513faf6550346d8488b4614/html5/thumbnails/57.jpg)
Factoring Perfect Squares
• Factor the following.
36122 xx
22 )6(3612 xxx
)6)(6(36122 xxxx
![Page 58: Factoring Quadratic Equations Objective: To factor a quadratic expression and to use factoring to solve quadratic equations](https://reader036.vdocuments.site/reader036/viewer/2022081414/5513faf6550346d8488b4614/html5/thumbnails/58.jpg)
Zero Product Property
• If two or more terms are being multiplied together and their product is zero, one of them must equal zero.
.0or 0 then ,0 If qppq
![Page 59: Factoring Quadratic Equations Objective: To factor a quadratic expression and to use factoring to solve quadratic equations](https://reader036.vdocuments.site/reader036/viewer/2022081414/5513faf6550346d8488b4614/html5/thumbnails/59.jpg)
Example 6
![Page 60: Factoring Quadratic Equations Objective: To factor a quadratic expression and to use factoring to solve quadratic equations](https://reader036.vdocuments.site/reader036/viewer/2022081414/5513faf6550346d8488b4614/html5/thumbnails/60.jpg)
Example 6
![Page 61: Factoring Quadratic Equations Objective: To factor a quadratic expression and to use factoring to solve quadratic equations](https://reader036.vdocuments.site/reader036/viewer/2022081414/5513faf6550346d8488b4614/html5/thumbnails/61.jpg)
Example 6
![Page 62: Factoring Quadratic Equations Objective: To factor a quadratic expression and to use factoring to solve quadratic equations](https://reader036.vdocuments.site/reader036/viewer/2022081414/5513faf6550346d8488b4614/html5/thumbnails/62.jpg)
You Try
• Use the zero product property to find the zeros of each function.
xxxf 123)( 2 214)( 2 xxxf
![Page 63: Factoring Quadratic Equations Objective: To factor a quadratic expression and to use factoring to solve quadratic equations](https://reader036.vdocuments.site/reader036/viewer/2022081414/5513faf6550346d8488b4614/html5/thumbnails/63.jpg)
You Try
• Use the zero product property to find the zeros of each function.
xxxf 123)( 2 214)( 2 xxxf
0)4(3
0123 2
xx
xx
![Page 64: Factoring Quadratic Equations Objective: To factor a quadratic expression and to use factoring to solve quadratic equations](https://reader036.vdocuments.site/reader036/viewer/2022081414/5513faf6550346d8488b4614/html5/thumbnails/64.jpg)
You Try
• Use the zero product property to find the zeros of each function.
xxxf 123)( 2 214)( 2 xxxf
0)4(3
0123 2
xx
xx
0
03
x
x
4
04
x
x
![Page 65: Factoring Quadratic Equations Objective: To factor a quadratic expression and to use factoring to solve quadratic equations](https://reader036.vdocuments.site/reader036/viewer/2022081414/5513faf6550346d8488b4614/html5/thumbnails/65.jpg)
You Try
• Use the zero product property to find the zeros of each function.
xxxf 123)( 2 214)( 2 xxxf
0)4(3
0123 2
xx
xx
0
03
x
x
4
04
x
x
0)3)(7(
02142
xx
xx
![Page 66: Factoring Quadratic Equations Objective: To factor a quadratic expression and to use factoring to solve quadratic equations](https://reader036.vdocuments.site/reader036/viewer/2022081414/5513faf6550346d8488b4614/html5/thumbnails/66.jpg)
You Try
• Use the zero product property to find the zeros of each function.
xxxf 123)( 2 214)( 2 xxxf
0)4(3
0123 2
xx
xx
0
03
x
x
4
04
x
x
7
07
x
x
3
03
x
x
0)3)(7(
02142
xx
xx
![Page 67: Factoring Quadratic Equations Objective: To factor a quadratic expression and to use factoring to solve quadratic equations](https://reader036.vdocuments.site/reader036/viewer/2022081414/5513faf6550346d8488b4614/html5/thumbnails/67.jpg)
![Page 68: Factoring Quadratic Equations Objective: To factor a quadratic expression and to use factoring to solve quadratic equations](https://reader036.vdocuments.site/reader036/viewer/2022081414/5513faf6550346d8488b4614/html5/thumbnails/68.jpg)
![Page 69: Factoring Quadratic Equations Objective: To factor a quadratic expression and to use factoring to solve quadratic equations](https://reader036.vdocuments.site/reader036/viewer/2022081414/5513faf6550346d8488b4614/html5/thumbnails/69.jpg)
Homework
• Page 296• 31-65 odd
• This is a skill that is best learned by repetition. You need to do all of these problems and maybe more to become really good at this.