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Factor. See Example 5 or Example 7.$$15 a+8 a^{3}-26 a^{2}$$

$a(2 a-5)(4 a-3)$

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

Missouri State University

Campbell University

Harvey Mudd College

Lectures

01:37

Factor. See Example 2 or E…

01:39

Factor. See Example 7 or E…

01:56

Factor. See Example 5 or E…

02:02

01:16

02:36

02:13

01:24

01:49

Factor by grouping. See Ex…

01:20

Factor. See Example 1 or E…

01:52

02:08

Factor. See Example 3 or E…

01:53

01:09

Factor. See Example 6 or E…

01:48

01:54

Factor. See Example 5$…

01:15

01:44

Okay, so let's start your engine or Tim's. So we have our highest powers in front, and now we can see that we, in fact, they're out's A since we have an A in each term and a five or three as well, actually, can we factor out of three? 123 No smoking is tracked down. A to get eight, a squared minus 26 A. Okay, now we're gonna use our grouping method to factor. It's out. So we have a which is able to eight B, which is intimate of 26 see, which is equal to 15 are key. Number is equal to eight times you've seen. So that's equal to 1 20 So we have the product of two numbers to be able to 1 20 and who's some is equal to be. She's 26. Okay, so let's see. Mmm. What? Two numbers. Can you give me a second? We can use four and duty, but if we did that, its seat, we would need, um negative 26. So we would need a negative four. Actually, they got 26 or negative. Dirty, and that would give us negative 26 But then, if we have a negative 30 times for being negative 1 20 but we need a positive 1 20 So instead of using these two numbers, we can try another pair. We can use six and 20 and then we could take the negative a bull for these two. Get negative 26. And the negative of wolf of these products is equal to 1 29 with you rewrite this as the following. Okay? And I will fact they're the first to tears. We can track their out a too. So we have and then a So we have for a minus three and then we'll factor out, eh? Negative five from our last two terms. So we have a four a minus three times. Negative five. Now we have 40 minutes doing common. In fact, it got out. So get 40 minutes three times a day. Comes to a minus five

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