Find the quotient and the remainder when

Question:

Find the quotient and the remainder when

$f(x)=x^{3}-3 x^{2}+5 x-3$ is divided by $g(x)=x^{2}-2$

 

Solution:

Quotient $q(x)=x-3$

Remainder $r(x)=7 x-9$

 

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