What is longdivision ((x^2+1))/((x+4)) ?

The solution to longdivision ((x^2+1))/((x+4)) is x-4+(17)/(x+4)

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longdivision ((x^2+1))/((x+4))

long division

\frac{( x ^{2} + 1 )}{( x + 4 )}

x - 4 + \frac{17}{x + 4}

Solution steps

\frac{( x ^{2} + 1 )}{( x + 4 )}

Divide

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

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

Divide

\frac{- 4 x + 1}{x + 4} : \frac{- 4 x + 1}{x + 4} = - 4 + \frac{17}{x + 4}

= x - 4 + \frac{17}{x + 4}

\frac{( 2 x ^{2} + 6 x + 24 )}{( x + 4 )}

\frac{( x ^{3} - 8 x + 6 )}{( x ^{2} - 2 x + 1 )}

\frac{x ^{2} - 5}{x ^{2} - 25}

\frac{( 5 x ^{2} - 7 x + 3 )}{( x ^{2} + 2 )}

\frac{( x + 2 )}{( x + 3 )}

What is longdivision ((x^2+1))/((x+4)) ?
The solution to longdivision ((x^2+1))/((x+4)) is x-4+(17)/(x+4)