Find the quotient and remainder using synthetic division.
$(4 x^{3} - 16 x^{2} - 9 x - 36) \div (x + 2)$

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Solution

The division of $(4 x^{3} - 16 x^{2} - 9 x - 36)$ and $(x + 2)$ is shown above:

Hence, from the division, we get that the quotient is $(4 x^{2} - 24 x + 39)$ and the remainder is $- 114$ .

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