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# What is the remainder when (3x^{4} + 2x^{3} - x^{2} + 2x - 14) ÷ (x + 2)?

**Solution:**

It is given that

(3x^{4} + 2x^{3} - x^{2} + 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 (3x^{4} + 2x^{3} - x^{2} + 2x - 14) ÷ (x + 2)?

**Summary:**

The remainder when (3x^{4} + 2x^{3} - x^{2} + 2x - 14) ÷ (x + 2) is 10.

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