SOLUTION: I can't seem to get this right, please help? Use polynomial long division to divide -4x3 + 24x2 – 24x + 4 by x2 – 5x + 1

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I can't seem to get this right, please help? Use polynomial long division to divide -4x3 + 24x2 – 24x + 4 by x2 – 5x + 1       Log On


   

Question 387765: I can't seem to get this right, please help?
Use polynomial long division to divide
-4x3 + 24x2 – 24x + 4
by
x2 – 5x + 1
Found 2 solutions by jsmallt9, josmiceli:
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
               -4x   +  4
               _______________________
x^2 - 5x + 1  /-4x^3 + 24x^2 - 24x + 4
               -4x^3 + 20x^2 -  4x
              --------------------
                        4x^2 - 20x + 4
                        4x^2 - 20x + 4
                        --------------
                                     0

So %28-4x%5E3+%2B+24x%5E2+-+24x+%2B+4%29%2F%28x%5E2+-+5x+%2B+1%29+=+-4x+%2B+4

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
My 1st term would be -4x, since
-4x%2A%28x%5E2+-+5x+%2B+1%29+=+-4x%5E3+%2B+20x%5E2+-+4x
and
-4x%5E3+%2B+24x%5E2+-+24x+-+%28-4x%5E3+%2B+20x%5E2+-+4x%29+=+4x%5E2+-+20x
And my next term will be 4, since
4%2A%28x%5E2+-+5x+%2B+1%29+=+4x%5E2+-+20x+%2B+4
and
-4x%5E2+-+20x+%2B+4+-+%284x%5E2+-+20x+%2B+4%29+=+0+
The answer is -4x+%2B+4 (it checks out)