9.2 Multiplying and Factoring
Distributing a Monomial
Distributive Property
5(a + 3)
(x – 2)(3)
2x(3x + 1)
Ex1: Simplify: –2g2(3g3 + 6g – 5)
Simplify
1. 4b(5b2 + b + 6)
2. –7h(3h2 – 8h – 1)
3. 2x(x2 – 6x + 5)
4. –p2(p – 11)
5. –5x2(x2 + 2x + 1)
Factoring a Monomial From a Polynomial
Ex2: Find the GCF of the terms.
a. 2x4 + 10x2 – 6
b. 5v5 + 10v3
1
Factor each of the following.
1. 4x3 – 8x2 + 12x
3. 8x2 – 12x
5. 6m3 – 12m2 – 24m
2. 4b3 – 2b2 – 6b
4. 5d3 + 10d
6. 10x3 – 25x2 + 20
Simplify. Write in standard form.
7. –3a(4a2 – 5a + 9)
8. x2(x + 2) – x(x2 – 1)
2