Using long division to find the quotient and remainder 4x^4+2x^2-2 divided by x^2+2

1 answer:

8 0

4x² -6
__________________
x²+2 l 4x^4 +2x² -2
l 4x^4 +8x²
--------------------
-6x² -2
-6x² -12
---------------
10

so the answer is $(4x^2-6) \frac{10}{x^2+2}$

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