What are the Steps for Finding Vertical Asymptotes in Polynomial Functions?

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To find vertical asymptotes in polynomial functions, it's essential to factor the denominator completely. The discussion highlights the importance of identifying values that make the function undefined, which typically occurs when the denominator equals zero. The example provided, 2x^3-4x^2-2x+4, illustrates the factoring process, leading to a clearer understanding of the function's behavior. Checking for these undefined points is crucial in determining the vertical asymptotes. Overall, proper factoring and identifying undefined values are key steps in this process.
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Alright, I know how to find the horizontal asymptotes

but the vertical asymptotes?

I tried dividing the polynomials but maybe I am not doing it correctly because I cannot get a normal answer...

and I am unsure how to factor the denominator.
 
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2x^3-4x^2-2x+4=2x^2(2x-4)-1(2x-4)

does that help you?
 
yes that makes more sense thanks

didn't consider that
 
and then just check to see what makes the function undefined
 

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