-6x^4 + 5x^2 + 11x divided by 2x^2 + 2

I got an assignment to divide -6x^4 + 5x^2 + 11x by 2x^2 + 2 so plese solve my question. I have to submit my assignment on 11 March 2013 . I am from India .
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1 Answer

             -3x2+11/2        (quotient)

2x2+2 ) -6x4+5x2+11x

              6x4+6x2 (add)

                    11x2+11x

                   -11x2        -11 (add)

                             11x-11 (remainder)

CHECK

(2x2+2)(-3x2+11/2)+11x-11=

-6x4+11x2

          -6x2      +11

                +11x-11

-6x4+5x2+11x       ✔️

This can also be written (x2+1)(-6x2+11)+11x-11=-6x4+5x2+11x.

ANSWER: (-6x4+5x2+11x)/(2x2+2)=-3x2+11/2 remainder 11x-11.

by Top Rated User (1.2m points)

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