Question

What is the remainder when (3x4 + 2x3 – x2 + 2x – 24) ÷ (x + 2)

Answer 1

Equate the divisor to zero to get the value of x. This gives -2. Substitute this value to the x's of the dividend.
3(-2)^4 + 2(-2)³ - (-2)² + 2(-2) - 24
The answer to the operation above is 0. Therefore, the remainder is 0.