Step-by-step Solution

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Step-by-step explanation

Problem to solve:

$\lim_{x\to-2}\left(3x^2-x-10\right)=8$

Learn how to solve limits by direct substitution problems step by step online.

$\left(3\right)\left(-10\right)=-30$

Learn how to solve limits by direct substitution problems step by step online. Evaluate the limit of 3x^2-x-10=8 as x approaches -2. Factor the trinomial 3x^2-x-10 of the form ax^2+bx+c, first, make the product of 3 and -10. Now, find two numbers that multiplied give us -30 and add up to -1. Rewrite the original expression. Factor by the greatest common divisor 3.

$\lim_{x\to-2}\left(3x^2-x-10\right)=8$