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Choose the correct method from Sections 6.1, 6.2, or 6.3 to factor each of the following.$$-b^{2}-5 b+24$$

$-(b+8)(b-3)$

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

University of Michigan - Ann Arbor

Idaho State University

Lectures

00:39

Choose the correct method …

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00:51

01:39

01:03

Okay, so we asked a factor to fallen. So let's start by factoring out and they could have won. So we have a positive coefficient in front. Okay, so now, will you two group method. So we have a which is equal to one B, which is equal to five and see you with surgical to negative 24. So our key number is equal to a time. See, I get this negative 24. And so now we need to find two numbers whose product is equal to negative 24 and who's some is equal to be, which is five sort. See won't work, so we can try eight and three. So if we have negative three, where some is equal to five and our product is equal to make up 24 so we'll rewrite this so we'll have, um, and they could have three b plus. It's B minus 24. And now, for our 1st 2 terms, we contract out to be and our last two turns begin factor out and eat. You know, we see that we have a B minus three in common, so we get a negative one times be ministry Times P plus eight

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