(6x^3+7x^2+12x-5) divided by (3x-1) using long divison

Question

dividing Polynominals.

Answer 1

Divident is 6x^3+7x^2+12x-5 and divisor is 3x-1

3x-1) 6x^3+7x^2+12x-5 ( 2x^2+3x+5

        6x^3-2x^2

     (-)      (+)    

     ____________

              9x^2+12x

             9x^2-3x

          (-)      (+)   

          _____________

                    15x-5

                    15x-5

                   (-)  (+)

                  __________

                         0

Quotient is 2x^2+3x+5.

Remainder is 0.