Chapter 9.4 Factoring a Monomial
Algebra 1
Objective(s) 1. Solve Polynomial equations in factored form.
2. Factor out the greatest common monomial factor from a polynomial.
A.
Factor a monomial (using the distributive property)
Ex 2x3 + 8x2 ­ 2x
Ex 12x2 + 3x
Your turn:
12xy + 44x2
B.
10a ­ 25x2
10x3y3 ­ 2xy2 + 14xy
Solve equations that are already factored
Zero Product Property
If ab = 0, then a = 0 or b = 0
Ex x(x + 2)= 0
Ex (2x ­ 3)(x + 5)= 0
Your turn:
.
Ex x(4x ­ 1)= 0
Ex 3x(2x + 1)= 0
Ex (x ­ 7)(4x ­ 1)= 0
Ex (2x ­ 7)(3x + 2)= 0