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divide the polynomial $p( x)$ by the polynomial $g( x)$ and find the quotient and remainder in each of the following: $( p(x)=x^{3}-3 x^{2}+5 x-3$, $g(x)=x^{2}-2$.
Given: $( p(x)=x^{3}-3 x^{2}+5 x-3$, $g(x)=x^{2}-2$.
To do: To divide the polynomial $p( x)$ by the polynomial $g( x)$ and find the quotient and remainder.
Solution:
As given, $( p(x)=x^{3}-3 x^{2}+5 x-3$, $g(x)=x^{2}-2$
On Dividing $p( x)$ by $g( x)$ by long division:
Quotient$=x-3$
Remainder$=7x-9$.
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