Question

I got a tricky one

When f(x) is divided by x+3, the remainder is 11 which statement must be true?

A: f(3)=-11
B:f(3)= 11
C: f(-3)= -11
D: f(-3)= 11

Answer 1

D. f(-3) = 11

Explanation:

When f(x) is divided by x+3, you get a quotient g(x) and a remainder of 11:

f(x) / (x + 3) = g(x) + 11 / (x + 3)

Multiply both sides by x+3:

f(x) = g(x) (x + 3) + 11

Substitute -3 for x:

f(-3) = g(-3) (-3 + 3) + 11

f(-3) = g(-3) (0) + 11

f(-3) = 11