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Factor. See Example 5 or Example 7.$$-28+6 a^{2}-2 a$$
$2(3 a-7)(a+2)$
Algebra
Chapter 6
Factoring and Quadratic Equations
Section 3
Factoring Trinomials of the Form $a x^{2}+b x+c 454$
Equations and Inequalities
Quadratic Functions
Campbell University
McMaster University
Idaho State University
Lectures
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okay, so rested factor to falling. So let's start right, rearranging or terms. So our highest powers are in front, so we get the falling. And now let's factor by grouping. Actually, before we did that, um, it's factor out, too, because we have to in common, Creech turn to be a three a squared minus a minus 14. Okay, so now it's factor grouping over a that's equal to three. You have tickled to negative one and see that's equal to negative 14. Now our key number physical to three times their fortune, and that's equal to negative 42. So we need the product of two numbers to be equal to our key number and who some is equal to seek current started B, which is negative. One. So two numbers you can use is seven and six. See you at seven and six, some together to equal negative one. We would need seven to be negative, and that gives us negative 42 for our products as well, so we can split up our middle term and falling. We'll take six to be our first term in front, and then they have seven. A soak. In fact, it. Well, fact that these two terms of these tutors So we get three a and then a squared, actually close to and in minus seven times a post, too. And now, with you, we have a pulse to in common. We contracted out. So we're left with two times three a minus, seven times eight plus two.
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