Topic 24: Factoring and quadratic equations FACTORING AND ...
x 5 2xy Fri 11/6 Lesson 4 4 Learning Objective: To factor difference and sum of cubes by grouping...
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Transcript of x 5 2xy Fri 11/6 Lesson 4 4 Learning Objective: To factor difference and sum of cubes by grouping...
Factor.1. 2. 3.
Warm – up #4
Factor.1. = 3x(2x – 1)2. == (x – 5)(x + 5)
Warm – up #4 Solutions
x 5
3. = 3(16== 3(4(4== 3(2x – y)(2x + y)(4
Warm – up #4 Solutions
2x y
4 𝑦 2
Homework Log
Fri
11/6
Lesson 4 – 4
Learning Objective: To factor difference and sum of cubes & by grouping
Hw: Factoring WS 2
11/6/15 Lesson 4 – 4 Factoring Day 2
Algebra II
To factor difference of cubes To factor sum of cubes To factor by grouping
Learning Objective
Difference of Squares
Sum of Squares
Can’t be factored!
Factoring
Difference of Cubes
Sum of Cubes
Factoring
Pull out the cube rootsSquare the first termChange the SignFirst times the second termPlus the last term squared
Difference & Sum of Cube “Song”
1. == (2x – 1)
2. == (3x – 2)
Difference of Cubes
2x 1
3x 2
(4 + 2x+ 1)
(9 + 6x+ 4)
3. == (4x + 5)
4. == (x+6y)
Sum of Cubes
4x 5
x 6y
(16 - 20x + 25)
( - 6xy + )
5. == ( + 1)( - +1)== (x + 1)(-+1)
Sum of Cubes
𝑥3 1
x 1
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
Factor6. = 2x(2xy – 3)
7. = x(x – 1)
Review Factoring
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)
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)
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)
12. = (x – 3)+1(x – 3)
=
Factor
(x – 3)(+ 1)
13. = 2()= 2(= 2 ((x – 8)
= 2(x – 8)(x + 2)(x – 2)
14. = 8(== 8(x – 1)( + x + 1)
Factor
x 1
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
Factor
What’s the difference in your answers?
Ticket Out the Door
Assignment:
Factoring WS 2