00:02
So given 10x squared minus 9x plus 2, we're going to start off by finding the numbers that we're going to replace our middle term with.
00:10
So we do 10 times 2, which is 20.
00:14
Then we take our middle term and turn it on the bottom.
00:16
I need two numbers that multiply to give me 20 and combine to give me negative 9.
00:21
Well, i know 4 and 5 are multiplied to give me 20, and 4 and 5 are 9.
00:28
If i want negative 9, i could make both these negative.
00:31
So then i got negative 4 times negative 5 is 20 and negative 4 combined with negative 5 is negative 9.
00:37
So that works.
00:38
So these two numbers will replace this.
00:41
To do that, i do 10x squared minus 4x minus 5x plus 2.
00:49
Now we've got our four terms...