In Exercises 1–10, factor out the greatest common factor. 18x+27

Question

Accepted Answer

Hello today we're going to be determining what the greatest common factor of the polynomial is. And we're going to factor it out. So the polynomial given to us is 12 X plus 30. So let's go ahead and start by identifying our greatest common factor. Well, if we take a look at the terms 12 X and 30, both of these terms are divisible by six. But that's the only thing that both of these terms are divisible by. So the greatest common factor is going to be six. Now, what does it mean to factor out the greatest common factor? Well, what it means is we're going to go through both of these terms and divide each of these terms by six. 12 X divided by six is going to give us two X and 30 divided by six is going to give us five. So what this factors to or when we take out the greatest common factor, this is going to change to two X plus five. While the way that we write that is first write our greatest common factor which is six, then it's going to be multiplied by our polynomial with the factor taken out which is going to be two X plus five. And this is going to be the fully factored version of this given polynomial and the answer to this problem is going to be C. So I hope this video helps you in understanding what the greatest common factor is and how to factor it out and I'll go ahead and see you all in the next video

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