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

D. f (-3) = 11

Step-by-step 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