Question 701108
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 = +/-{{{sqrt(-9)}}}
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