1. Factor higher degree polynomials by grouping.
8.8 Factor By Grouping
Factor higher degree polynomials by grouping.

2. Factoring a Common Binomial
Factor the expression.
4x(x - 3) + 5(x – 3)
What do they have in common?
(x – 3)
Rewrite as (x – 3)(4x + 5)
2y2(y – 5) – 3(5 – y)
If you factored a -1 from -3(5 - y) you would have something in common.
Rewrite as (y – 5)(2y2 + 3)

3. You Try! y2(y – 4) + 5(4 – y) Factor the expression.
x(x - 2) + (x – 2)
Rewrite as (x – 2)(x + 1)
x(13 + x) – (x + 13)
Rewrite as (x + 13)(x - 1)
y2(y – 4) + 5(4 – y)
Rewrite as (y – 4)(y2 – 5)

4. Factor by Grouping Factor the polynomial. a3 + 3a2 + a + 3 Group items
Factor the GCF from each group
a2(a + 3) + (a + 3)
Rewrite
(a2 + 1)(a + 3)

5. Practice Factor the polynomial. y2 + 2x + yx + 2y Group items
(y2 + 2y) + (2x + yx)
Factor the GCF from each group
y(y + 2) + x(2 + y)
Rewrite
(y + 2)(y + x)

6. You Try! r2 + 4r + rs + 4s x3 – 10 – 5x + 2x2 Factor the polynomial.

7. Factor Completely Factor out GCF: 4𝑞 𝑞 3 −2 𝑞 2 +3𝑞−6
4 𝑞 4 −8 𝑞 𝑞 2 −24𝑞
Factor out GCF: 4𝑞 𝑞 3 −2 𝑞 2 +3𝑞−6
Factor by grouping:4𝑞[ 𝑞 3 −2 𝑞 2 )+(3𝑞−6 ]
4𝑞 𝑞 2 𝑞−2 +3 𝑞−2
4𝑞( 𝑞 2 +3)(𝑞−2)

8. Assignment
Odds
P.531 #9-35