Question

how do you divide the polynomial 2x^3-5x^2+3x-1 by x-2.

Answer 1

Given polynomial 2x^3-5x^2+3x-1

Divisior is x-2.

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

       2x^3-4x^2

      (-)   (+)      

     _________

           -x^2+3x

           -x^2+2x

           (+) (-)      

          __________

                x-1

                x-2

               (-) (+)

             _______

                   1

             _______

Quotient is 2x^2-x+1 and remainder is 1.