(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Give a formula for the extended function that is continuous at the indicated point.

(x^{3}-4x^{2}-11x+30)/(x^{2}-4), x=2

2. Relevant equations

3. The attempt at a solution

I know that I have to factor the top and bottom so that I can cancel terms that cause the function to be undefined at x=2, and I know how to do everything after that. However, I'm stuck on how to factor x^{3}-4x^{2}-11x+30. I know that the factors are (x-5)(x-2)(x+3), but I don't know how to go about getting there. I tried grouping, but it didn't work since there is no way that I see to factor -11x+30.

x^{3}-4x^{2}-11x+30

x^{2}(x-4)-11x+30

I tried grouping other ways, but they did not work either.

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# Homework Help: Factoring a difficult polynomial so that I can extend equation

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