SOLUTION: find the quotient {{{x^3+216}}} ----------- - x + 6

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Question 891239: find the quotient
x%5E3%2B216
-------------
x + 6
Answer by DrBeeee(684) About Me  (Show Source):
You can put this solution on YOUR website!
Given;
(1) (x^3+216)/(x+6)
Use long division to evaluate (1) and get
(2)(x^3+216)/(x+6) = x^2-6x+36
To check the division, which I can't do here, multiply
(3) (x+6)*(x^2-6x+36) to get
(4) x^3 + 216
If you don't know how to divide polynomials, please look it up. Or see if you can make sense of the following.
x + 6 | x^3 + 0 + 0 + 216 = x^2
- ( x^3 + 6x^2 ) = -6x^2 + 0 + 216
x + 6 | -6x^2 + 0 + 216 = -6x
- ( -6x^2 - 36x ) = 36x + 216
x + 6 | 36x + 216 = 36
- ( 36x + 216) = 0
Answer: x^2 - 6x + 36