Question

Divide 3x^3+x^2+2x+5 by 1+2x+x^2.

Standard:- 10th

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Answer 1

Given f(x) = 3x^3 + x^2 + 2x + 5.

Given g(x) = 1 + 2x + x^2

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


                         3x - 5
                     ----------------------------
1 + 2x + x^2)  3x^3 + x^2 + 2x + 5

                      3x^3 + 6x^2 + 3x

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

                                    -5x^2 - x  + 5

                                 - 5x^2 - 10x - 5

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

                                                9x + 10.



Therefore Quotient = 3x - 5 and remainder = 9x + 10.



Hope this helps!

Answer 2

I hope it will help you....