1. Lesson 8­6.notebook April 22, 2013
Lesson 8.6:
*Remember these:
(a + b)2 =
(a ­ b)2 =
**These products are called "perfect square trinomials" ­ b/c they are
the squares of binomials.
ex ­­>16x2 + 24x + 9

2. Lesson 8­6.notebook April 22, 2013
*Follow these steps when factoring any polynomials...
­­Factor out the GCF (if it is greater than 1)
­­Check for a "difference of 2 squares" or a "perfect square
trinomial"
­­Apply the factoring steps for x2 + bx + c; or ax2 + bx + c; or
factoring by grouping

3. Lesson 8­6.notebook April 22, 2013
Lesson 8.6 examples:
Factor each polynomial, if possible. If the polynomial cannot be
factored, write prime.
A) 25x2 + 60x + 36
B) 81x2 ­ 90x + 25
C) 4x2 + 64

4. Lesson 8­6.notebook April 22, 2013
D) 12x2 ­ 84x + 147
E) 8y2 ­ 200z2
F) 8x2 + 10x ­ 21

5. Lesson 8­6.notebook April 22, 2013
Solve each equation. Check the solutions.
G) 4m2 ­ 24m + 36 = 0
H) 4x2 = 80x ­ 400