SOLUTION: Divide using long division show work (x^3-9x^2+15x+25)/(x-5)

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Question 1153255: Divide using long division show work (x^3-9x^2+15x+25)/(x-5)
Found 3 solutions by MathLover1, MathTherapy, josgarithmetic:
Answer by MathLover1(20850) About Me  (Show Source):
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%28x%5E3-9x%5E2%2B15x%2B25%29%2F%28x-5%29
using long division:
...........(x%5E2-4x-5
x-5.|x%5E3-9x%5E2%2B15x%2B25
...........x%5E3-5x%5E2........subtract
.............0-4x%5E2%2B15x+...bring down 15x
..............-4x%5E2%2B20x+......subtract
.................0-5x+%2B25..bring down 25
..................-5x+%2B25.....subtract
....................0+%2B0-> reminder

%28x%5E3-9x%5E2%2B15x%2B25%29%2F%28x-5%29=%28x%5E2-4x-5%29%28x-5%29%2B0

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Divide using long division show work (x^3-9x^2+15x+25)/(x-5) 
Correct answer: highlight_green%28%28x+%2B+1%29%28x+-+5%29%5E2%29%29

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!

          x^2    -4x    -5
      ___________________________________
x-5   |   x^3   -9x^2   15x   25
      |
      |   x^3  -5x^2
      |---------------
          0    -4x^2    15x
               -4x^2    20x
              -------------
                0      -5x   25
                       -5x   25
                      -----------
                        0     0

The quotient, having no remainder, is x%5E2-4x-5.