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Exercise

$\lim_{x\to-9}\left(\frac{2x^2+11x-63}{9+x}\right)$

Step-by-step Solution

Learn how to solve limits by factoring problems step by step online. Find the limit of (2x^2+11x+-63)/(9+x) as x approaches -9. Factor the trinomial 2x^2+11x-63 of the form ax^2+bx+c, first, make the product of 2 and -63. Now, find two numbers that multiplied give us -126 and add up to 11. Rewrite the original expression. Factor 2x^2+18x-7x-63 by the greatest common divisor 2.
Find the limit of (2x^2+11x+-63)/(9+x) as x approaches -9

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Final answer to the exercise

$-25$

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Main Topic: Limits by Factoring

Limits that require factorization techniques to solve them.

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