SOLUTION: Find the zeros of the functions by factoring and usnig the Zero Product Property. a. f(x) = x^3 +9x b. g(x) = (x - 2)^2 + 4(x - 2) + 4 I'm working on my midterm review and

Question 701108: Find the zeros of the functions by factoring and usnig the Zero Product Property.
a. f(x) = x^3 +9x
b. g(x) = (x - 2)^2 + 4(x - 2) + 4
I'm working on my midterm review and am stuck on this. I really can't figure it out. A step-by-step guide on how to solve this would be excruciatingly helpful. Thank you in advance; it's greatly appreciated.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Find the zeros of the functions by factoring and using the Zero Product Property.
a. f(x) = x^3 +9x
x^3 + 9x = 0
Factor out x
x(x^2 + 9) = 0
x = 0; the the only real root of this equation
and
x^2 = -9
x = +/-
x = +/- 3i
:
:
b. g(x) = (x - 2)^2 + 4(x - 2) + 4
(x - 2)^2 + 4(x - 2) + 4 = 0
FOIL(x-2)(x-2)
x^2 - 4x + 4 + 4x - 8 + 4 = 0
Combine like terms
x^2 - 4x + 4x + 4 - 8 + 4 = 0
x^2 = 0
x = 0

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