Question

x^4 + x^3 - 2x^2 + x + 1 divide by x-1 is the remainder is 2 ? i just want to check my answer

Answer 1

        x^3  +  2x^2  + 1
       ----------------------------------
x - 1) x^4 + x^3 - 2x^2 + x + 1

        x^4 - x^3

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

                    2x^3 - 2x^2 + x + 1

                   2x^3 -  2x^2

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

                                            x  +  1

                                            x  -   1

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

                                                     2.


Therefore Quotient = x^3 + 2x^2 + 1 and remainder = 2.



Hope this helps!

Answer 2

Solution:-


given:-

(x^4 + x^3 - 2x^2 + x + 1)/( x-1)


= qouient = x^3+2x^2+1 ramainder = 2

its right