



 
Hi Sarah, Let f(x) = 2x^{3} + 3x^{2}  32x + 15. I looked and didn't see any obvious factorization so the next technique to try is to guess at a number a so that f(a) = 0. After a few attempts I found that f(3) = 0 and thus that factor theorem says that
for some polynomial g(x). Hence g(x) = f(x)/(x  3). You can then find g(x) either by long division or by synthetic division. g(x) is a quadratic which hopefully you will be able to factor. I hope this helps,  


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