Question

Divide using long division.
`(-3x^5+11x^4+33x^3-26x^2-36x-6)/(x^3+6x^2-3x-5)`

Answer 1

Explanation:

x³+6x²-3x-5)-3x⁵+11x⁴+33x³-26x²-36x-6(-3x²+29x-150

-3x⁵-18x⁴+9x³+15x²

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29x⁴+24x³-41x²-36x-6

29x⁴+174x³-87x²-145x

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-150x³+46x²+109x-6

-150x³-900x²+450x+750

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946x²-341x -756

Therefore

-3x⁵+11x⁴+33x³-26x²-36x-6=(x³+6x²-3x-5)(-3x²+29x-150)+ 946x²-341x -756