Divide and check (3x^2-7x+1)/(3x-1)

Question

Divide and check:

using long division

(3x² − 7x + 1) ÷ (3x − 1)

Answer 1

Divident is 3x^2-7x+1.

Divisor is 3x-1.

3x-1 ) 3x^2-7x+1 (x-2

         3x^2-x

      (-)     (+) 

      _________

            -6x+1 

            -6x+2

            (+) (-)

           _______

              -1

Check

By the division algorithm  3x^2-7x+1 = (3x-1)(x-2)-1

3x^2-7x+1 = 3x^2-6x-x+2-1

3x^2-7x+1 = 3x^2-7x+1