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Synthetic Division of Polynomials

Find the quot...

Question

Find the quotient and remainder using synthetic division.
$(6 x^{4} - 29 x^{3} + 40 x^{2} - 12) \div (x - 3)$

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Solution

The division of $(6 x^{4} - 22 x^{3} + 40 x^{2} - 12)$ and $(x - 3)$ is shown above:

Hence, from the division, we get that the quotient is $(6 x^{3} - 4 x^{2} + 28 x + 84)$ and the remainder is $240$ .

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