SOLUTION: Hey, I need help solving the following problem- Factor each polynomial completely using the given factor and long division: x^3+2x^2-21x+18; x-3

Algebra ->  Functions -> SOLUTION: Hey, I need help solving the following problem- Factor each polynomial completely using the given factor and long division: x^3+2x^2-21x+18; x-3      Log On


   

Question 673519: Hey, I need help solving the following problem- Factor each polynomial completely using the given factor and long division:
x^3+2x^2-21x+18; x-3
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
x^3 + 2x^2 - 21x + 18 divided by x-3
...
x-3 goes into x^3 + 2x^2: x^2
yielding x^3 - 3x^2
...
x^3 + 2x^2 - x^3 - -3x^2 = 5x^2
x-3 goes into 5x^2 - 21x: 5x
yielding
5x^2 - 15x
...
5x^2 - 21x - 5x^2 - -15x = -6x
x-3 goes into -6x + 18: -6
yeilding
-6x + 18
...
-6x + 18 - -6x - 18 = 0
...
%28x%5E3%2B2x%5E2-21x%2B18%29%2F%28x-3%29=+highlight_green%28x%5E2+%2B+5x+-+6%29
Which factors to (x+6)(x-1)
...
(x-3)(x+6)(x-1)
x = -6, 1, 3
.....................
Delighted to help.
-Reading Boosters
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