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.Com
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(39620)   (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 and quotient found is .

RELATED QUESTIONS

Divide using long division and synthetic division... (answered by tommyt3rd)
divide using long division. State the quotient q(x) and the remainder r(x)... (answered by solver91311)
divide using long divison state the quotient q(x) and the remainder r(x)... (answered by ReadingBoosters)
Use long division to find the quotient Q(x) and the remainder R(x) when p(x) is divided... (answered by jsmallt9)
Divide the first polynomial by the second. State the quotient and the remainder. 3x^3... (answered by rfer)
Divide. (9x^3-10+19+6x^4)/(-2x^2+3x-3) Write your answer in the form Q(x)+ R(x)/... (answered by rfer)
Perform the following division: 6x^4+17x^3+16x^2+14x+12/2x+3 Write your answer in the (answered by jsmallt9)
using long division solve (6x^3 + 17x^2 + 27x + 20)/(3x +... (answered by Edwin McCravy)
Find the quotient and remainder using synthetic or long division... (answered by math_helper)