The correct equation representing the synthetic division problem is given by:
(3x³ + 5x² - 14x - 18) ÷ (x - 2) = 3x² + 11x + 8 - 2/(x - 2)
What are the terms for the synthetic division problem?
From the top coefficients, we have that the dividend is given by:
3x³ + 5x² - 14x - 18
From the left coefficient, we have that the divisor is:
x - 2.
From the bottom coefficients, the quotient and the remainder are given, respectively, by:
3x² + 11x + 8, and -2.
Hence the correct option is given by:
(3x³ + 5x² - 14x - 18) ÷ (x - 2) = 3x² + 11x + 8 - 2/(x - 2)
More can be learned about synthetic division at https://brainly.com/question/24662212
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