Answered: Factor6t^2-23t+7

Elementary Algebra

17th Edition

ISBN:9780998625713

Author:Lynn Marecek, MaryAnne Anthony-Smith

Publisher:Lynn Marecek, MaryAnne Anthony-Smith

Chapter7: Factoring

Section7.1: Greatest Common Factor And Factor By Grouping

Problem 7.24TI: Factor: 9y27 .

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Question

Factor

6t^2-23t+7

Expert Solution

Step 1

To express the given quadratic expression as a product of linear (first degree) expressions

Step 2

Here is a general rule: If the expression ax^2+bx+c is factorizable, then we can find two numbers p and q such that pq=ac and p+q=b. Having found these numbers , rewrite the given expression to be factored as shown to pull out the common factor.

Step 3

Let us try this method with the given expression ; we find p=-21,q=-2

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