What is the asymptotes of (x^3+x^2-6x)/(4x^2+4x-8) ?

The asymptotes of (x^3+x^2-6x)/(4x^2+4x-8) is Vertical: x=-2,x=1,Slant: y= 1/4 x

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asymptotes of (x^3+x^2-6x)/(4x^2+4x-8)

asymptotes

\frac{x ^{3} + x ^{2} - 6 x}{4 x ^{2} + 4 x - 8}

Vertical : x = - 2, x = 1, Slant : y = \frac{1}{4} x

Solution steps

Vertical asymptotes of

\frac{x ^{3} + x ^{2} - 6 x}{4 x ^{2} + 4 x - 8} : x = - 2, x = 1

Horizontal Asymptotes of

\frac{x ^{3} + x ^{2} - 6 x}{4 x ^{2} + 4 x - 8} :

None

Slant Asymptotes of

\frac{x ^{3} + x ^{2} - 6 x}{4 x ^{2} + 4 x - 8} : y = \frac{1}{4} x

Vertical : x = - 2, x = 1, Slant : y = \frac{1}{4} x

f (x) = x - 4

x^{3} - x

(- 8, 0), (5, - 7)

f (x) = \frac{x - 4}{x ^{2} - 2 x - 8}

x^{4} + 62 x^{2} + 128 x + 65

What is the asymptotes of (x^3+x^2-6x)/(4x^2+4x-8) ?
The asymptotes of (x^3+x^2-6x)/(4x^2+4x-8) is Vertical: x=-2,x=1,Slant: y= 1/4 x