SOLUTION: Divide using long division and state the quotient, q(x) and the remainder, r(x). Problem: (6x^3+17x^2+27x+20) / (3x-1)

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Divide using long division and state the quotient, q(x) and the remainder, r(x). Problem: (6x^3+17x^2+27x+20) / (3x-1)       Log On


   

Question 985514: Divide using long division and state the quotient, q(x) and the remainder, r(x).
Problem: (6x^3+17x^2+27x+20) / (3x-1)

Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!

            2x^2     (19/3)x    (100/9)
        _________________________________________
3x-1    |   6x^3     +17x^2     +27x      +20
        |   6x^3     -2x^2
          ________________
              0      19x^2    +27x
                     19x^2   -(19/3)x
                    _________________
                      0      (100/3)x     +20
                             (100/3)x   -(100/9)
                            _____________________
                                 0       (280/9)


The remainder found is 280%2F9 and quotient found is 2x%5E2%2B%2819%2F3%29x%2B%28100%2F9%29.