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In $9-26,$ write each expression as the product of two binomials.$$x^{2}+5 x+6$$

$(x+2)(x+3)$

Algebra

Chapter 1

THE INTEGERS

Section 6

Factoring Polynomials

The Integers

Equations and Inequalities

Polynomials

Campbell University

McMaster University

Harvey Mudd College

Lectures

01:32

In mathematics, the absolu…

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01:20

In $9-26,$ write each expr…

02:37

03:01

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02:44

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02:03

So we have X squared plus Father X plus six. Then we want back through this. So the first thing we do is we look at our coefficient in this case, one in our last time, which is six. And multiply them together and they would look at our middle term, which is positive block. So we want our number sold part of six. We want them to add to five. So we list of factors of six. So one in six and two and three and we asked ourselves which one of these which pair can adds a positive body. So technically, both pairs and some variations can adds a five. But we need them both to be positive, ruining them boats to be negative. And because this five is positive, we need them both to be positive. So this is now out of the question. So now we know that our pair is two in three. So now we want to expand this middle term here, so exclude stayed the same. And now we're expanding our five x So we'll have plus two x plus three x because super stories, Father X. So that's what we do. We expand their and then just plus six. He's never won a group that vice two times in the last two terms and went back there out. The greatest comment Mon Ami. So whenever we factor out variables, we always talked about the lows exponents. So in this case, we're in a factor out next to the first, which is just X and X times. What gives Us x squared. And it's X and X times. What gives us two X? And that's two. They do the same thing to our second wind. The girl's coming back to between three and six. Well, the factors of three are one in three. Enough actors of six are 123 and six. So just did a ghost coming Factors three. So I'm gonna pack two out of three here, and we're left with X plus two on the inside. So because this time is the same here and here we have X Plus two and whatever's left. So explosives three

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