00:01
In this problem, in part a, i should say, we're being asked to factor the given expression.
00:05
Remember, when factoring, you should always factor out the greatest common factor if there is one, but in this case, there is it.
00:11
So we have a trinomial, then the leading coefficient is greater than one.
00:14
So we're going to try and factor by trium ever.
00:17
So we'll set up our two parentheses for our two binomials.
00:20
Now the nice thing is our leading coefficient 3 is a prime number.
00:23
So the only integers that multiply are 1 and 3.
00:26
So we would have 3 y and 1.
00:29
Or simply just y.
00:31
Now for the last term in each binomial, they have to multiply to our constant.
00:35
Well, the nice thing about negative three is that, again, three is prime.
00:39
So our only options are it could be negative one in positive three or positive one in negative three.
00:44
So i'm going to actually try the second one.
00:46
I'm going to put the one at the first one and negative three at the second one.
00:50
So how do we check? we multiply the outsides and the insides...