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Factor the trinomial $t^2+3t-10$ finding two numbers that multiply to form $-10$ and added form $3$
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$\begin{matrix}\left(-2\right)\left(5\right)=-10\\ \left(-2\right)+\left(5\right)=3\end{matrix}$
Learn how to solve problems step by step online. Find the limit (t)->(2)lim((t^2+3t+-10)/(t^3-2t^2t+-2)). Factor the trinomial t^2+3t-10 finding two numbers that multiply to form -10 and added form 3. Thus. We can factor the polynomial t^3-2t^2+t-2 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 -2. Next, list all divisors of the leading coefficient a_n, which equals 1.