SOLUTION: need to find the VA, HA, and OA if they exist f(x)=3x2-6x-24 ___________ ___ 5x2-26x+5

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Question 238512: need to find the VA, HA, and OA if they exist
f(x)=3x2-6x-24
_______________
5x2-26x+5

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
find the VA, HA, and OA if they exist
f(x)=3x2-6x-24
_______________
5x2-26x+5
---------------------------
HA:y = 3x^2/5x^2 = 3/5
-----------------------------
Factor original to look for VA's:
f(x) = [3(x^2-2x-8)]/[5x^2-25x-x+5]
---
f(x) = [3(x-4)(x+2)]/[(x-5)(5x-1)]
---
VA: at x = 5 and at x = 1/5
---
OA: No OA because the degree of the denominator is
not less than the degree of the numerator.
================================================
Cheers,
Stan H.

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