1. Lesson 8.2:
"Factoring" a polynomial involves finding the "completely" factored
form.
...involves doing the "Distributive Property" backwards...
ex ­ Factor 20z2 + 35z
*determine the GCF of each term
*factor out the GCF
...(by dividing each term by the GCF)
1

2. **Polynomials that have 4 or more terms must be "factored by
grouping"...
ax + bx + ay + by = (ax + bx) + (ay + by)
x(a + b) + y(a + b)
(x + y)(a + b)
2

3. ***Zero product property ­ if the product of 2 factors is 0,
then at least one of the factors must be 0.
*This property can be used to solve equations!
3

4. Lesson 8.2 examples:
Use the distributive property to factor each polynomial.
A) 21b ­ 15a
B) 10g2h2 + 9gh2 ­ g2h
4

5. Factor each polynomial.
C) np + 2n + 8p + 16
D) 3bc ­ 2b ­ 10 + 15c
5

6. Solve each equation. Check your solutions.
E) 3k(k + 10) = 0
F) 20p2 ­ 15p = 0
G) r2 = 14r
6