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3 votes
TRUE / FALSE.
Is \( (x+4) \) a factor of \( f(x)=3 x^{4}-48 x^{2}+8 x+32 \) True False

1 Answer

4 votes

Answer:

True

Explanation:

If
f(-4)=0, then
(x+4) is a factor of the original polynomial by the Factor/Remainder Theorem:


f(x)=3x^4-48x^2+8x+32\\f(-4)=3(-4)^4-48(-4)^2+8(-4)+32\\f(-4)=0

Therefore,
(x+4) is a factor, meaning it is true.

User David Tew
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