SOLUTION: Perform the following division: (9x^4-18+20x^2-11x)/(-3x^2+x+2) Write your answer in the form of Q(x)+R(x) over -3x^2+x+2

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Perform the following division: (9x^4-18+20x^2-11x)/(-3x^2+x+2) Write your answer in the form of Q(x)+R(x) over -3x^2+x+2       Log On


   

Question 371888: Perform the following division:
(9x^4-18+20x^2-11x)/(-3x^2+x+2)
Write your answer in the form of Q(x)+R(x) over -3x^2+x+2

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use polynomial long division,

           -3x^2 - x - 9
          __________________________________
-3x^2+x+2 | 9x^4 +  0x^3 + 20x^2 - 11x - 18
        -  (9x^4 -  3x^3 -  6x^2)
          ----------------------------
                    3x^3 + 26x^2 - 11x
                 - (3x^3 -   x^2 -  2x)
                   --------------------
                           27x^2 -  9x - 18 
                       -  (27x^2 -  9x - 18)
                          ------------------
                                          0

%289x%5E4-18%2B20x%5E2-11x%29%2F%28-3x%5E2%2Bx%2B2%29=%28-3x%5E2+-+x+-+9%29