SOLUTION: Find the remaining zeros of​ f(x) given that c is a zero. Then rewrite​ f(x) in completely factored form. f(x)=x^3+x^2-4x-4; c=2 is a zero

Algebra ->  Rational-functions -> SOLUTION: Find the remaining zeros of​ f(x) given that c is a zero. Then rewrite​ f(x) in completely factored form. f(x)=x^3+x^2-4x-4; c=2 is a zero      Log On


   

Question 1087490: Find the remaining zeros of​ f(x) given that c is a zero. Then rewrite​ f(x) in completely factored form. f(x)=x^3+x^2-4x-4; c=2 is a zero
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

f%28x%29=x%5E3%2Bx%5E2-4x-4; c=2 is a zero
f%28x%29=%28x%5E3%2Bx%5E2%29-%284x%2B4%29
f%28x%29=x%5E2%28x%2B1%29-4%28x%2B1%29
f%28x%29=%28x%5E2-4%29%28x%2B1%29
f%28x%29=%28x%5E2-2%5E2%29%28x%2B1%29
f%28x%29=%28x-2%29%28x%2B2%29%28x%2B1%29
zeros:
%28x-2%29%28x%2B2%29%28x%2B1%29=0
if %28x-2%29=0+-> x=2 which is given c
if %28x%2B2%29=0 -> x=-2
if %28x%2B1%29=0+-> x=-1