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Divide 4x^4-8x^2+3x-12 by x+4

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Synthetic division to divide 4x^4 - 8x^2 + 3x - 12 by x + 4.


-4 | 4 0 -8 3 -12
-16 64 -224 884
_____________________
4 -16 56 -221 872

So, the quotient is 4x^3 - 16x^2 + 56x - 221 and the remainder is 872.
User Andy Hoffner
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Explanation:

You first group your numerators

When grouping your last terms, you take out -3 as your common factor

You then cross-cancel the (x+4)'s and you get your final answer

you may re-distribute if you please

Divide 4x^4-8x^2+3x-12 by x+4-example-1
User Vasile Doe
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