SOLUTION: x^4 + 4x^3 - 5x^2 -12x + 6 / x^2 - 3 = (/ This is a division sign)

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Question 676320: x^4 + 4x^3 - 5x^2 -12x + 6 / x^2 - 3 =
(/ This is a division sign)
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
%28x%5E4%2B4x%5E3-5x%5E2-12x%2B6%29%2F%28x%5E2-3%29
...
x%5E2-3 goes into x%5E4%2B4x%5E3 : x^2
to get
x%5E4+-+3x%5E2
subtracting
x%5E4+-+x%5E4+%2B+4x%5E3+-+-3x%5E2
yielding
4x%5E3%2B3x%5E2
...
x%5E2-3 goes into 4x%5E3%2B3x%5E2-5x%5E2 which is
4x%5E3-2x%5E2 : 4x
to get
4x%5E3+-+12x
subtracting
4x%5E3+-+4x%5E3+-+2x%5E2+-++-12x
yielding
-2x%5E2%2B12x
...
x%5E2-3 goes into -2x%5E2%2B12x-12x which is
-2x%5E2 :-2
to get
-2x%5E2+%2B+6
subtracting
-2x%5E2+-++-2x%5E2+-+6
yielding
-6
...
x%5E2-3 goes into -6-3, which is -9: 0
to get
0
subtracting
-9 - 0
yielding
-9 as the remainder.
...
%28x%5E4%2B4x%5E3-5x%5E2-12x%2B6%29%2F%28x%5E2-3%29 = %28x%5E2%2B4x-2%29%28%28-9%29%2F%28x%5E2-3%29%29
.....................
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