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)
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).
To apply the Remainder Theorem, we need to find a factor of f(x) that makes f(12) equal to zero.
Given that f(12) = 0, we can conclude that (x - 12) is a factor of f(x). Therefore, the correct choice is (x - 12).
To apply the Remainder Theorem, we need to evaluate the polynomial f(x) at x = 12 and check if the result is zero. If it is zero, then (x - 12) is a factor of f(x).
Given that f(12) = 0, we can conclude that (x - 12) is a factor of f(x).