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Remainder Theorem

Find the quot...

Question

Find the quotient and the remainder when:
$f (x) = x^{3} - 3 x^{2} + 5 x - 3$ is divided by $g (x) = x^{2} - 2$

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Solution

Quotient $q (x) = x - 3$
Remainder $r (x) = 7 x - 9$

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f (x) = x^{3} - 3 x^{2} + 5 x - 3

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