Currently I am taking an independant learning class to earn my grade 12 Advanced Functions credit. Recently I've been learning about sketching reciprocal functions and determining where horizontal and vertical asymptotes will occur. I am very stuck on one question in particular:
Determine the vertical asymptotes of g(x) = x + 2 / x^3 - x^2 - x + 1 and sketch the graph near the asymptotes.
I'm not even sure how to start here, normally I would find the asymptotes by setting the denominator equal to zero, however I do no know how to solve 0 = x^3 - x^2 - x + 1
Any help here would be much appreciated, thanks in advance!