Question 527005: all asymptotes of
(3x^2-16x-12)/(x+5)
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! all asymptotes of
(3x^2-16x-12)/(x+5)
**
When the degree of the numerator is one higher than the degree of the denominator, you will have a slant or oblique asymptote, as in this case.
To find this asymptote, divide the numerator by the denominator. The quotient is the straight line slant asymptote.
By long division:
.............3x-31.........................
...x+5)..3x^2-16x-12.............................
............3x^2+15x.........................
.................... -31x-12..................
.....................-31x-155.................
...............................143.......
Equation of slant asymptote=3x-31
..
Vertical asymptote:
To find vertical asymptotes, set denominator=0 and solve for x
x+5=0
x=-5
equation of vertical asymptote: x=-5
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