Given a polynomial f(x) and that f(12)=0 , apply the Remainder Theorem and then determine which of the following is a factor of f(x) .(1 point)

Question

Given a polynomial  f(x)  and that  f(12)=0 , apply the Remainder Theorem and then determine which of the following is a factor of  f(x) .(1 point)
Responses

(x+12)
left parenthesis x plus 12 right parenthesis

(x−32)
left parenthesis x minus Start Fraction 3 over 2 End Fraction right parenthesis

(x−12)
left parenthesis x minus 12 right parenthesis

(x−0)

GPT 3.5 · Answer

Since we are given that f(12) = 0, applying the Remainder Theorem tells us that (x - 12) is a factor of f(x). Therefore, the correct option is (x - 12).