What is the remainder when (3x4 + 2x3 - x2 + 2x - 24) : (x + 2)

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.