SOLUTION: divide using long divison state the quotient q(x) and the remainder r(x) (4x^4-4x^2+6x)/(x-4)

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Question 679200: divide using long divison state the quotient q(x) and the remainder r(x)
(4x^4-4x^2+6x)/(x-4)
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
%284x%5E4-4x%5E2%2B6x%29%2F%28x-4%29
...
x-4 goes into 4x%5E4-4x%5E2: 4x%5E3
to get
4x%5E4-16x%5E3
subtracting
4x%5E4+-+4x%5E4+-+4x%5E2+-+-16x%5E3
yielding
16x%5E3+-+4x%5E2
...
x-4 goes into 16x%5E3-4x%5E2%2B6x: 16x%5E2
to get
16x%5E3-64x%5E2
subtracting
16x%5E3+-+16x%5E3+-+4x%5E2+-+-64x%5E2+%2B+6x
yielding
60x%5E2%2B6x
...
%284x%5E4-4x%5E2%2B6x%29%2F%28x-4%29+=+q%28x%29+=+4x%5E3+%2B+16x%5E2 remainder, r(x) = 60x%5E2%2B6x
...
4x%5E3%2B16x%5E2%2860x%5E2%2B6x%29%2F%28x-4%29
.....................
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