00:01
In this problem, you are given a scenario where there's a pool surrounded by a deck, and they give you information about the pool, and they give you information about the deck and pool combo.
00:11
And then they ask you to figure out what the area of the deck is based off of what they've given you.
00:17
So the idea here is pretty simple.
00:20
You have this rectangular pool in red.
00:23
They give you the area of that as y equals x squared plus 2x minus 15.
00:28
In other words, this is the area x squared plus 2x minus 15 square units.
00:34
They tell you that the entire structure, the pool and deck combined, has an area of y squared, sorry, y equals x squared plus 7x.
00:44
So the x squared plus 7x is the area, okay, of the pool and the deck combined in square units.
00:52
They ask you, what is the area of a deck, right? so how can you figure out the deck on its own? basically, they're asking you for this highlighted yellow area, right? so how can we figure out what area this is? well, it's just a difference, isn't it? it's the blue area, which we're given right here, take away the red area, and you'd be left with this highlighted area i have in yellow.
01:15
So let's figure out what that difference the two polynomials would be.
01:19
That would be the technique that would be the most efficient...