Question

4. Divide
$(x {}^{4} - 5x + 6) \: by \: (2 - x {}^{2} )$

Standard:- 10

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Answer 1

Given f(x) = x^4 - 5x + 6.

Given g(x) = 2 - x^2.

Now, divide f(x) by g(x).


               -x^2 - 2
              ---------------------------
2 - x^2)  x^4            -  5x +  6

              x^4 - 2x^2

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

                      -2x^2  - 5x + 6

                      -2x^2          - 4

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

                                  -5x + 10

              


Therefore Quotient = -x^2 - 2 and remainder = -5x + 10.



Hope this helps!

Answer 2

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