What is longdivision ((2x^2+5x-7))/((x-2)) ?

The solution to longdivision ((2x^2+5x-7))/((x-2)) is 2x+9+(11)/(x-2)

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longdivision ((2x^2+5x-7))/((x-2))

long division

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

2 x + 9 + \frac{11}{x - 2}

Solution steps

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

Divide

\frac{2 x ^{2} + 5 x - 7}{x - 2} : \frac{2 x ^{2} + 5 x - 7}{x - 2} = 2 x + \frac{9 x - 7}{x - 2}

= 2 x + \frac{9 x - 7}{x - 2}

Divide

\frac{9 x - 7}{x - 2} : \frac{9 x - 7}{x - 2} = 9 + \frac{11}{x - 2}

= 2 x + 9 + \frac{11}{x - 2}

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

\frac{( 8 x + 7 )}{( 10 x - 9 )}

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

2 x (3 - 2 x) + 4 (x - 1)

3 x - 2 y (4 + x)

What is longdivision ((2x^2+5x-7))/((x-2)) ?
The solution to longdivision ((2x^2+5x-7))/((x-2)) is 2x+9+(11)/(x-2)