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Synthetic Division of Polynomials

Find the quot...

Question

Find the quotient and remainder using synthetic division.
$(8 x^{4} - 2 x^{2} + 6 x - 5) \div (4 x + 1)$

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Solution

Divisor $= 4 x + 1$
$Z e r o = \frac{- 1}{4}$
Hence the quotient $= 8 x^{3} - 2 x^{2} + \frac{3}{2} x + \frac{51}{8}$
Remainder $= \frac{- 211}{32}$

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