What is (x^5+6x^3-7)/(x-1) ?

The solution to (x^5+6x^3-7)/(x-1) is x^4+x^3+7x^2+7x+7

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simplify (x^5+6x^3-7)/(x-1)

simplify

\frac{x ^{5} + 6 x ^{3} - 7}{x - 1}

x^{4} + x^{3} + 7 x^{2} + 7 x + 7

Solution steps

\frac{x ^{5} + 6 x ^{3} - 7}{x - 1}

Factor

x^{5} + 6 x^{3} - 7 : (x - 1) (x^{4} + x^{3} + 7 x^{2} + 7 x + 7)

= \frac{( x - 1 ) ( x ^{4} + x ^{3} + 7 x ^{2} + 7 x + 7 )}{x - 1}

Cancel the common factor:

x - 1

= x^{4} + x^{3} + 7 x^{2} + 7 x + 7

\frac{5}{9} \times \frac{3}{4}

lo g_{3} (\frac{2}{3})

\frac{42 x ^{2}}{- 36 x ^{3}}

(7 - 4 i) - (10 - 3 i)

5. 6^{2} + 13. 8^{2} + 20. 4^{2}

What is (x^5+6x^3-7)/(x-1) ?
The solution to (x^5+6x^3-7)/(x-1) is x^4+x^3+7x^2+7x+7