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Factor the trinomial $x^2-x-30$ finding two numbers that multiply to form $-30$ and added form $-1$
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$\begin{matrix}\left(5\right)\left(-6\right)=-30\\ \left(5\right)+\left(-6\right)=-1\end{matrix}$
Learn how to solve limits by direct substitution problems step by step online. Find the limit (x)->(-5)lim((x^3-2x+115)/(x^2-x+-30)). Factor the trinomial x^2-x-30 finding two numbers that multiply to form -30 and added form -1. Thus. We can factor the polynomial x^3-2x+115 using the rational root theorem, which guarantees that for a polynomial of the form a_nx^n+a_{n-1}x^{n-1}+\dots+a_0 there is a rational root of the form \pm\frac{p}{q}, where p belongs to the divisors of the constant term a_0, and q belongs to the divisors of the leading coefficient a_n. List all divisors p of the constant term a_0, which equals 115. Next, list all divisors of the leading coefficient a_n, which equals 1.