How do you divide ( -3x^3 + 5x + 14) div (x-2)?

1 Answer
Feb 14, 2017

-3x-1 + (16/(x-2))

Explanation:

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diving by long division, you want to try and eliminate each term in the dividend (-3x^2 + 5x + 14) one by one until you get a remainder that you can no longer divide by

we multiply (x-2) by (-3x) to get (-3x^2+6x), and then we subtract it from the dividend (-3x^2 + 5x + 14) to get (-x)

we keep doing this until we get a remainder that we can no longer divide by

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there's nothing that you can multiply by (x-2) that can make it any simpler, 16 is as far as we go

so now you have a quotient (-3x-1) and your remainder (16)/(x-2)
so your answer is -3x-1 + (16/(x-2))