What is (x^5+7x^3-8)/(x-1) ?

The solution to (x^5+7x^3-8)/(x-1) is x^4+x^3+8x^2+8x+8

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simplify (x^5+7x^3-8)/(x-1)

simplify

\frac{x ^{5} + 7 x ^{3} - 8}{x - 1}

x^{4} + x^{3} + 8 x^{2} + 8 x + 8

Solution steps

\frac{x ^{5} + 7 x ^{3} - 8}{x - 1}

Factor

x^{5} + 7 x^{3} - 8 : (x - 1) (x^{4} + x^{3} + 8 x^{2} + 8 x + 8)

= \frac{( x - 1 ) ( x ^{4} + x ^{3} + 8 x ^{2} + 8 x + 8 )}{x - 1}

Cancel the common factor:

x - 1

= x^{4} + x^{3} + 8 x^{2} + 8 x + 8

1 + lo g_{2} (40)

\frac{5}{3 \cdot 5}

4 x^{2} + 4 x + 1

- 7 2 x^{2} - 5 x 72

4 - \frac{7}{9}

What is (x^5+7x^3-8)/(x-1) ?
The solution to (x^5+7x^3-8)/(x-1) is x^4+x^3+8x^2+8x+8