Use synthetic division method for performing the following division. Write the result in the form
Dividend = Divisor x Quotient + Remainder.

$(x^{3} - 4 x^{2} - 2 x + 1) \div (x - 3)$

(x + 1) (x^{2} - x - 5) - 1

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(x - 1) (x^{2} - x - 1) - 2

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(x + 3) (x^{2} - x - 2) - 11

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(x - 3) (x^{2} - x - 5) - 14

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Solution

The correct option is D $(x - 3) (x^{2} - x - 5) - 14$
Therefore,
Quotient= $x^{2} - x - 5$
Remainder= $- 14$
Therefore,
$x^{3} - 4 x^{2} - 2 x + 1 = (x - 3) (x^{2} - x - 5) - 14$

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