25x^3-30x^2+18x-8/5x-4

Question

dividing polynomials.

Answer 1

Divisor is 5x-4

Divident is 25x^3-30x^2+18x-8/5x-4 = 25x^3-30x^2+x(18-8/5)-4

25x^3-30x^2+(82/5)x-4

5x-4 ) 25x^3-30x^2+(82/5)x-4 ( 5x^2-2x+42/25

         25x^3-20x^2

        (-)       (+)

       _____________________

                 -10x^2+(82/5)x

                 -10x^2+8x

               (+)        (-) 

              ______________________

                            (42/5)x-4

                            (42/5)x-168/25

                           (-)         (+)    

                          ______________

                                       68/25

Quotient is 5x^2-2x+42/25 and remainder = 68/25.