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In $9-26,$ write each expression as the product of two binomials.$$x^{2}+9 x+20$$
$(x+4)(x+5)$
Algebra
Chapter 1
THE INTEGERS
Section 6
Factoring Polynomials
The Integers
Equations and Inequalities
Polynomials
McMaster University
University of Michigan - Ann Arbor
Lectures
01:32
In mathematics, the absolu…
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In $9-26,$ write each expr…
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So we want to write this expression as the product of two by novels. So basically, we want a factor. So that means we look at the coefficient of the first time and multiply by the last term. And one times 20 gives us 20. And then we look at our little term and we see that it's not so you wanted to multiply to 20 in ads and nine. So now I need a list of backers of 20 someone in 20 two into four in five. So now we need to look at which of these combinations will give us positive night. So we know that they'll both be positive because our nine term our number nine is positive. So both of these times have to be positive and the only combination that works is this for in this spot because four plus five is No, it's not. So now we're going to re write this expression using our broken down terms, So I'm gonna do plus four x splice biotics. Good. All we did was separate this Nynex here and some foreplay spot, and then we bring them in the place 20 and I were gonna group the 1st 2 terms, and in group this last two terms, they would pull out the greatest common factor or the greatest killer. Mommy, You. So in the first actor, we pull out the variable with the lowest degree in this case, just regular X cause x of the first. So you plotted next and we're left with explosive or only inside. And you can always check yourself are redistributing this ex bag into it to make sure that you bastard out correctly and from the 2nd 1 with a pull out of five. So plus five and we're left with X plus four on the inside. So you know you're on the right path when you have the same term here in the same term here. So have explosives for and then whatever we're left with in this case too explicit five. And we have expressed it as the factor, too
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