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