SOLUTION: (3x^4-4x^3-3x-1)/(x-1)

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: (3x^4-4x^3-3x-1)/(x-1)      Log On


   

Question 1042780: (3x^4-4x^3-3x-1)/(x-1)
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39627) About Me  (Show Source):
You can put this solution on YOUR website!
Same as long division, but here, with polynomials instead of base ten numbers. 

          3x^3    x^2    x    -2
     ___________________________________________
     |
x-1  |    3x^4 - 4x^3 +0x^2 - 3x -1
     |    3x^4 -3x^3
     |_______________
           0     x^3 + 0x^2
                 x^3 -x^2
                ___________
                 0    x^2 - 3x
                      x^2 -  x
                     _________
                       0   -2x - 1
                           -2x + 2
                            ________
                             0  -3

Full quotient with remainder is highlight%283x%5E3%2Bx%5E2%2Bx-2-3%2F%28x-1%29%29.

Answer by MathTherapy(10556) About Me  (Show Source):
You can put this solution on YOUR website!

(3x^4-4x^3-3x-1)/(x-1)
highlight_green%283x%5E3+-+x%5E2+-+x+-+4+%2B+-+5%2F%28x+-+1%29%29