What is the asymptotes of (x^2+x-5)/(x-2) ?

The asymptotes of (x^2+x-5)/(x-2) is Vertical: x=2,Slant: y=x+3

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asymptotes of (x^2+x-5)/(x-2)

asymptotes

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

Vertical : x = 2, Slant : y = x + 3

Solution steps

Vertical asymptotes of

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

Horizontal Asymptotes of

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

None

Slant Asymptotes of

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

Vertical : x = 2, Slant : y = x + 3

\frac{x ^{2} - 5 x + 7}{x ^{2} - 6 x + 10}

\frac{2 x ^{2} - 8}{2 x ^{2} + x - 45}

\frac{x ^{2} - x - 2}{2 x ^{2} - x - 21}

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

x^{4} - 10 x^{2} + 9

What is the asymptotes of (x^2+x-5)/(x-2) ?
The asymptotes of (x^2+x-5)/(x-2) is Vertical: x=2,Slant: y=x+3