Question

If (x – 5) is a factor of f(x), which of the following must be true?

A root of f(x) is x = –5.
B) A root of f(x) is x = 5.
C) Both x = –5 and x = 5 are roots of f(x).
D) Neither x = –5 nor x = 5 is a root of f(x).

Answer 1

if\[ f(x)=(x-5)\times \text{something}\] then
\[f(5)=(5-5)\times \text{something}\] i.e.
\[f(5)=0\]

Answer 2

since \(f(5)=0\) we say " a root of \(f(x)\) is \(5\)"

Answer 3

it'd B

Answer 4

@satellite73