FACTOR THE FOLLOWING SPECIAL CASES

X2 – 364X2 – 49

X2 + 6X + 9 X2 + 16X + 64

warm up

Factoring Test tomorrow

30 questions totalFactor using the GCF (greatest common

factor) 6 questions

Factor the trinomial with a lead coefficient of 1 (easy problem) ( short problem) 8 questions

Factor the trinomial with a lead coefficient not 1 (harder problem) ( longer problem) 4 questions

Factoring Test tomorrow

Factoring polynomials with special cases (look for perfect squares) 6 questions

Factor completely, you need to choose the appropriate method or combinations of methods 6 questions

Ways to factor

Factor GCFFactor trinomial lead coefficient 1 (easy)Factor trinomial lead coefficient not 1 (hard)Factor perfect square trinomialFactor difference of squares

1. Always check for GCF first2. Two or three terms?

1. Two terms check to see if both perfect squares

1. If yes then factor using difference of squares

2. if no then prime

2. Three terms check to see if first and last perfect squares

1. If yes then factor perfect square trinomial

2. If no then check lead coefficient1. If it equals 1 then easy method2. if not 1 then hard method

Factor using the greatest common factor

Decide what the greatest common factor isDivide each term by that greatest common

factor Divide the coefficients Subtract the exponents

Factor using the greatest common factor

4x - 8

12x2 + 4x

Factor using the greatest common factor

6x + 3

-4x3 + 2x2

Factor using the greatest common factor

28a2b + 56abc2

Factor 20x2 - 24xy

1. x(20 – 24y)

2. 2x(10x – 12y)

3. 4(5x2 – 6xy)

4. 4x(5x – 6y)

Step one – write factors of last term

Step two – find the factors that add to get you middle number

Step three – write factors you found as binomials

Factoring Trinomials

X2 + 8x + 12

Step one – write factors of last term

Step two – find the factors that add to get you middle number

Step three – write factors you found as binomials

Factoring Trinomials

X2 + 8x + 15

Step one – write factors of last term

Step two – find the factors that add to get you middle number

Step three – write factors you found as binomials

Factoring Trinomials

X2 - 4x + 3

Step one – write factors of last term

Step two – find the factors that add to get you middle number

Step three – write factors you found as binomials

Factoring Trinomials

X2 - 5x + 6

Step one – write factors of last term

Step two – find the factors that add to get you middle number

Step three – write factors you found as binomials

Factoring Trinomials

X2 + 2x - 8

Step one – write factors of last term

Step two – find the factors that add to get you middle number

Step three – write factors you found as binomials

Factoring Trinomials

X2 - x - 12

Factor each trinomial, if possible. The first four do NOT have leading coefficients, the last two DO have leading coefficients. Watch out for signs!!

1) t2 – 4t – 21

2) x2 + 12x + 32

3) x2 –10x + 24

4) x2 + 3x – 18

Factor These Trinomials!

2x2 + 7x + 3

• 1) multiply first coefficient with the last coefficient• 2) list the factors of that multiplication• 3) Find the factors that add to the middle term• 4) List out 4 terms• 5) factor by grouping

3x2 - 8x + 4

• 1) multiply first coefficient with the last coefficient• 2) list the factors of that multiplication• 3) Find the factors that add to the middle term• 4) List out 4 terms• 5) factor by grouping

Factoring Polynomials where the lead coefficient isn’t one

Example2x2 - 11x + 15

Factoring Polynomials where the lead coefficient isn’t one

Example3x2 + 7x - 20

Factor using the perfect square trinomial method

x2 + 12x + 36

Factor using the perfect square trinomial method

x2 + 4x + 4

Factor using the perfect square trinomial method

x2 - 14x + 49

Factor using the perfect square trinomial method

9x2 - 6x + 4

Factoring Difference of Squares

X2 - 16 X2 - 36

Factoring Difference of Squares

4X2 - 25 25X2 - 36