What is (x^4+2x^3-8x-160)/(x+4) ?

The solution to (x^4+2x^3-8x-160)/(x+4) is x^3-2x^2+8x-40

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simplify (x^4+2x^3-8x-160)/(x+4)

simplify

\frac{x ^{4} + 2 x ^{3} - 8 x - 160}{x + 4}

x^{3} - 2 x^{2} + 8 x - 40

Solution steps

\frac{x ^{4} + 2 x ^{3} - 8 x - 160}{x + 4}

Factor

x^{4} + 2 x^{3} - 8 x - 160 : (x + 4) (x^{3} - 2 x^{2} + 8 x - 40)

= \frac{( x + 4 ) ( x ^{3} - 2 x ^{2} + 8 x - 40 )}{x + 4}

Cancel the common factor:

x + 4

= x^{3} - 2 x^{2} + 8 x - 40

\frac{46}{9} - \frac{11}{3} + \frac{7}{3}

4 a - 4 + a - 1

2 x^{2} x

4 - \frac{7}{3}

What is (x^4+2x^3-8x-160)/(x+4) ?
The solution to (x^4+2x^3-8x-160)/(x+4) is x^3-2x^2+8x-40