What is longdivision ((3x^2-2x^3-1))/((x+2)) ?

The solution to longdivision ((3x^2-2x^3-1))/((x+2)) is -2x^2+7x-14+(27)/(x+2)

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longdivision ((3x^2-2x^3-1))/((x+2))

long division

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

- 2 x^{2} + 7 x - 14 + \frac{27}{x + 2}

Solution steps

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

Divide

\frac{- 2 x ^{3} + 3 x ^{2} - 1}{x + 2} : \frac{- 2 x ^{3} + 3 x ^{2} - 1}{x + 2} = - 2 x^{2} + \frac{7 x ^{2} - 1}{x + 2}

= - 2 x^{2} + \frac{7 x ^{2} - 1}{x + 2}

Divide

\frac{7 x ^{2} - 1}{x + 2} : \frac{7 x ^{2} - 1}{x + 2} = 7 x + \frac{- 14 x - 1}{x + 2}

= - 2 x^{2} + 7 x + \frac{- 14 x - 1}{x + 2}

Divide

\frac{- 14 x - 1}{x + 2} : \frac{- 14 x - 1}{x + 2} = - 14 + \frac{27}{x + 2}

= - 2 x^{2} + 7 x - 14 + \frac{27}{x + 2}

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

\frac{x + 2}{x - 30}

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

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

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

What is longdivision ((3x^2-2x^3-1))/((x+2)) ?
The solution to longdivision ((3x^2-2x^3-1))/((x+2)) is -2x^2+7x-14+(27)/(x+2)