The document provides instructions and examples for a math lesson on factoring polynomials. Students are assigned problems 2 through 42 of chapter 8, lesson 5 in their textbook, due on Monday. They will have a chapter 8 test on Thursday. The lesson explains techniques for factoring polynomials, including using the difference of squares formula and applying multiple factoring techniques in one problem. It provides examples of factoring various polynomials involving variables like x, m, r, t, c, m, p, and r.

1. Assignment:
1­­>L8.5, pg. 501­502, #2­42 (evens), skip #14 ­ Due Monday (4/2)
2­­>Chapter 8 Test ­ Thursday (4/5)
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2. Lesson 8.5 WarmUp:
Factor each polynomial.
1) 5g2h3 + 40g3h2
2) 3x2 + 6x + x + 2
3) x2 ­ 4x ­ 21
4) x2 ­ 10x + 24
5) x2 + 4x ­ 21
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3. Lesson 8.5:
*Remember these special products...
(x + 4)(x ­ 4) =
SO....for factoring...this is called a difference of 2 squares
a2 ­ b2 = (a + b)(a ­ b)
ex ­­>Factor: x2 ­ 64 =
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4. *Sometimes when factoring, we have to apply more than one
technique in a problem...
b4 ­ 16 =
And...when factoring ­ they should always be factored
"completely"....
5x5 ­ 45x =
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5. Lesson 8.5 examples:
Factor each polynomial.
A) x2 ­ 9
B) 9m2 ­ 144
C) 20r4 ­ 45n4
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6. D) 3t3 + 2t2 ­ 48t ­ 32
E) 2c3 + 3c2 ­ 2c ­ 3
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7. F) 3m4 + 243
G) p3r5 ­ p3r
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