division of polynomials

Question

find c(x)=x^4-3x^3+2÷x-1

Answer 1

Given polynomial is  x^4-3x^3+2/x-1

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

       x^4-x^3

     (-)   (+)

   ________

          -2x^3+2

         -2x^3+2x^2

        (+)      (-)

   _____________

                -2x^2+2

                 -2x^2+2x

                (+)      (-)

         ___________

                          -2x+2

                           -2x+2

                           (+)  (-)

                       _________

                            0

Remiander is 0 and quetiont is x^3-2x^2-2x-2.