What is longdivision ((x^5-5))/((x+1)) ?

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

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longdivision ((x^5-5))/((x+1))

long division

\frac{( x ^{5} - 5 )}{( x + 1 )}

x^{4} - x^{3} + x^{2} - x + 1 - \frac{6}{x + 1}

Solution steps

\frac{( x ^{5} - 5 )}{( x + 1 )}

Divide

\frac{x ^{5} - 5}{x + 1} : \frac{x ^{5} - 5}{x + 1} = x^{4} + \frac{- x ^{4} - 5}{x + 1}

= x^{4} + \frac{- x ^{4} - 5}{x + 1}

Divide

\frac{- x ^{4} - 5}{x + 1} : \frac{- x ^{4} - 5}{x + 1} = - x^{3} + \frac{x ^{3} - 5}{x + 1}

= x^{4} - x^{3} + \frac{x ^{3} - 5}{x + 1}

Divide

\frac{x ^{3} - 5}{x + 1} : \frac{x ^{3} - 5}{x + 1} = x^{2} + \frac{- x ^{2} - 5}{x + 1}

= x^{4} - x^{3} + x^{2} + \frac{- x ^{2} - 5}{x + 1}

Divide

\frac{- x ^{2} - 5}{x + 1} : \frac{- x ^{2} - 5}{x + 1} = - x + \frac{x - 5}{x + 1}

= x^{4} - x^{3} + x^{2} - x + \frac{x - 5}{x + 1}

Divide

\frac{x - 5}{x + 1} : \frac{x - 5}{x + 1} = 1 + \frac{- 6}{x + 1}

= x^{4} - x^{3} + x^{2} - x + 1 + \frac{- 6}{x + 1}

Simplify

= x^{4} - x^{3} + x^{2} - x + 1 - \frac{6}{x + 1}

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