00:01
We're being asked a factor to give in polynomial.
00:03
Remember, anytime you're asked a factor, you should always look for a greatest common factor first, which in this case, our greatest common factor is going to be negative 5y.
00:11
So let's factor out negative 5y.
00:13
So now we need to divide each term by negative 5y.
00:17
Well, negative 45y to the third divided by negative 5y is positive 9y squared.
00:24
Then we have negative 30 y squared divided by negative 5y, which is positive 6y.
00:29
And lastly, negative 5y divided by negative 5y is positive 1.
00:35
Now, we need to try and factor the remaining trinomial.
00:38
Well, this is in fact a perfect square trinomial, since both the first and last terms are perfect squareds, and to get the middle term, we simply take twice the product of their square roots...