What is the remainder when (3x4 + 2x3 − x2 + 2x − 9) ÷ (x + 2)?

ANSWER

The remainder is 15.

EXPLANATION

The given polynomial function is



We want to find the remainder when the given polynomial function is divided by



According to the Remainder Theorem, if



is divided by



Then the remainder is



This means that, we have to substitute


into the given polynomial function and evaluate.

Thus,









Therefore the remainder is 15