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

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

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

long division

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

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

Solution steps

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

Divide

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

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

Divide

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

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

Divide

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

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

\frac{( 2 x - 5 )}{( 3 - 4 x )}

\frac{( 5 x + 9 )}{( 3 x - 4 )}

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

\frac{( 3 x ^{2} + 3 x - 20 )}{( x + 3 )}

\frac{( n + 2 )}{( n + 1 )}

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