What is the remainder when (3x⁴ + 2x³ - x² + 2x - 14) ÷ (x + 2)?

Solution:

It is given that

(3x⁴ + 2x³ - x² + 2x - 14) ÷ (x + 2)

We have to find the remainder of the division polynomial.

By using the synthetic division method, since the divisor is a linear factor.

Therefore, the remainder is 10.

What is the remainder when (3x⁴ + 2x³ - x² + 2x - 14) ÷ (x + 2)?

Summary:

The remainder when (3x⁴ + 2x³ - x² + 2x - 14) ÷ (x + 2) is 10.