x 5 2xy fri 11/6 lesson 4 4 learning objective: to factor difference and sum of cubes by grouping...
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2xyTRANSCRIPT
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Factor.1. 2. 3.
Warm – up #4
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Factor.1. = 3x(2x – 1)2. == (x – 5)(x + 5)
Warm – up #4 Solutions
x 5
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3. = 3(16== 3(4(4== 3(2x – y)(2x + y)(4
Warm – up #4 Solutions
2x y
4 𝑦 2
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Homework Log
Fri
11/6
Lesson 4 – 4
Learning Objective: To factor difference and sum of cubes & by grouping
Hw: Factoring WS 2
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11/6/15 Lesson 4 – 4 Factoring Day 2
Algebra II
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To factor difference of cubes To factor sum of cubes To factor by grouping
Learning Objective
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Difference of Squares
Sum of Squares
Can’t be factored!
Factoring
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Difference of Cubes
Sum of Cubes
Factoring
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Pull out the cube rootsSquare the first termChange the SignFirst times the second termPlus the last term squared
Difference & Sum of Cube “Song”
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1. == (2x – 1)
2. == (3x – 2)
Difference of Cubes
2x 1
3x 2
(4 + 2x+ 1)
(9 + 6x+ 4)
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3. == (4x + 5)
4. == (x+6y)
Sum of Cubes
4x 5
x 6y
(16 - 20x + 25)
( - 6xy + )
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5. == ( + 1)( - +1)== (x + 1)(-+1)
Sum of Cubes
𝑥3 1
x 1
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Factor By GroupingMainly used when there are 4 terms
Group the first two terms & the last two terms
Factor from each group“Combine” like terms
Factor By Grouping
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Factor6. = 2x(2xy – 3)
7. = x(x – 1)
Review Factoring
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8. = x(3x + 2y)+5(2y + 3x)
=
Factor by Grouping
(x + 5)(3x + 2y)9. = (7y – 6)- 1(7y - 6)
= ((7y – 6) = (7y – 6)(x + 1)(x – 1)
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10. 32ax + 12bx – 48ay – 18by= 2(16ax + 6bx – 24ay - 9by)= 2(2x(8a + 3b) – 3y(8a + 3b))
= 2
Factor by Grouping
(2x – 3y)(8a + 3b)
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11. 30ac + 80bd + 40ad + 60bc= 10(3ac + 8bd + 4ad + 6bc)
= 10(3ac + 4ad + 8bd + 6bc)= 10(a(3c + 4d) + 2b(4d + 3c))
= 10
Factor by Grouping
(a + 2b)(3c + 4d)
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12. = (x – 3)+1(x – 3)
=
Factor
(x – 3)(+ 1)
13. = 2()= 2(= 2 ((x – 8)
= 2(x – 8)(x + 2)(x – 2)
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14. = 8(== 8(x – 1)( + x + 1)
Factor
x 1
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15. == (6x + 4)( - 24x+16)= 2(3x + 2)4(9= 8(3x + 2)(9
OR from 8(27=
= 8(3x + 2)(9
Factor
6x 4
3x 2
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Factor
What’s the difference in your answers?
Ticket Out the Door
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Assignment:
Factoring WS 2