SOLUTION: I need help dividing the following using synthetic division. (x^2 - 6x - 6x^3 + x^4) / (6 + x)

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Question 250404: I need help dividing the following using synthetic division.
(x^2 - 6x - 6x^3 + x^4) / (6 + x)
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
First thing is to write everything in descending order and not to skip any terms: we have:
%28x%5E4+-+6x%5E3+%2B+x%5E2+-+6x%29+%2F+%28x+%2B+6%29
we solve X + 6 = 0 for x to get x = 6. Now we are ready.
6.// . 1 . . -6 . . 1 . . -6
. . . . . . 6 . . .0 . . 6
______________________________
. . . 1. . 0 . . . 1 . . 0.
So, if all of this works correctly, you will see
X^2 + 1 with no remainder.