SOLUTION: Use the Factor Theorem to determine whether x - c is a factor of f(x). f(x)=x^4 - 32x^2 - 144; x - 12 answers Yes No

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Use the Factor Theorem to determine whether x - c is a factor of f(x). f(x)=x^4 - 32x^2 - 144; x - 12 answers Yes No       Log On


   



Question 893238: Use the Factor Theorem to determine whether x - c is a factor of f(x).
f(x)=x^4 - 32x^2 - 144; x - 12
answers
Yes
No


Found 2 solutions by jim_thompson5910, richwmiller:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Plug in x = 12 to get

f(x)=x^4 - 32x^2 - 144

f(12)=(12)^4 - 32(12)^2 - 144

f(12)=15984

This result is NOT zero, so x-12 is NOT a factor of f(x)

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
factors are
(x^2+4) (x-6) (x+6)