00:01
We're asked which polynomial has 3x plus 2 as a binomial factor.
00:06
So what that means is we're going to have to take each one of the expressions, which i've rewritten and written back as the exponents so you can see it better.
00:14
We're going to have to take each one of these and break them down as best we can to see which one has this as one of its factors.
00:22
Now to do so, i see that there's four terms in each of these.
00:26
So i'm going to try the grouping method, which means i'm going to group the first two terms and the last two terms, and then i'm looking for greatest common factors from each group.
00:37
So out of 6x cubed and 3x squared, i can pull out 3x squared.
00:45
That's going to leave.
00:47
3 goes into 6 twice, x squared out of x cubed, and then plus 1, and then my next group, plus 4x plus 2, i can take a 2 out of that.
01:04
And that leaves 2x plus 1.
01:08
So now i see i have a common factor again, 2x plus 1, and i had my greatest common factors pulled together to make the other part of my answer, 3x squared plus 2.
01:23
But as you can see, that doesn't work.
01:26
So we try it with the second one...