00:01
We have a rectangle that has a width of x plus 0 .4 and has an area of 0 .5x to the third plus 0 .5x squared plus 0 .62x plus 0 .62x plus 0 .2.
00:22
And we are trying to find the length of our rectangle.
00:27
Well, we know that area equals length times width, and to solve for our length, we'll have to do a polynomial long division.
00:36
So we're going to divide by x plus 0 .4, and inside we have our area.
00:54
And you can put a 1 out front here.
00:57
And to do this, you have to think 1 times what gives us 0 .05, which is 0 .05.
01:03
I have 1x.
01:04
I need 3, so i need 2 more.
01:06
And then you multiply through.
01:09
So 0 .5x squared times 1x, 0 .5x2 to the third, and 0 .5x squared times 0 .4 is 0 .2x squared.
01:22
Underneath, you always subtract.
01:24
Your first term should always cancel.
01:27
And then 0 .5 minus 0 .2 is 0 .3x squared.
01:32
Bring down your next term.
01:37
And this is like our new first term.
01:39
So 1 times what gives us 0 .3, which is 0 .3...