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Synthetic Division of Polynomials

Find the quot...

Question

Find the quotient and remainder using synthetic division.
$(8 x^{4} - 27 x^{2} + 6 x + 9) \div (x + 1)$

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Solution

The division of $(8 x^{4} - 27 x^{2} + 6 x + 9)$ and $(x + 1)$ is shown above:

Hence, from the division, we get that the quotient is $(8 x^{3} - 8 x^{2} - 19 x + 25)$ and the remainder is $- 16$ .

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