Divide the following:
$x^3 - 3 x^2 + 5 x - 3$  by   $x^2 -2$

Given :

$p(x) =x^3 - 3 x^2 + 5 x - 3$ and $g(x) =x^2 -2$.

To do :

We have to divide the given polynomials.

Solution :

$p(x) \div g(x) =$

$ x^2 -2 )x^3 - 3 x^2 + 5 x - 3 [ x-3$                       $ \frac{x^{3}}{x^{2}}  =x$

              $x^3            -2x$

       -----------------

                $-3x^2+7x-3$                         $\frac{-3x^{2}}{x^{2}} =-3$

                $-3x^2       +6$

              ---------------

                          $7x-9$

Quotient $= x-3$

Remainder $= 7x-9$

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Updated on: 10-Oct-2022

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