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Find the quotient and remainder if f(x) is divided by p(x).

\[f(x)=2x^4-x^3-3x^2+7x-12\]; \[p(x)=x^2-3\]

Verified Answer :

pkmnmushy

I'll give you the process and then the idea is for you to find out the final answer. That is going to be easy after this process im giving you:
2x^2 - x +3

            ------------------------

x^2 -3 ) 2x^4 - x^3         - 3x^2 + 7x -12

              2x^4 - 6x^2

              ------------------------

                       -x^3 + 3x^2 + 7x

                       -x^3             + 3x
                        ----------------------

                                      3x^2 + 4x -12

                                      3x^2 -9

                                      --------------

                                                   4x - 3
Hope this is going to be very useful for you

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