00:03
All right, our problem tells us we have a rectangular field whose area is x squared minus 120x plus 3 ,500, and it has a width of x minus 50.
00:13
It then asks us to find this side.
00:20
Now, you could use guess and check with x minus 50 to try and find a factor you can multiply it by to get our area.
00:28
However, in my opinion, the easiest way to do this is simply use synthetic division and remove the factor that was given to us.
00:36
Now to do that, we are going to take the opposite of this number, which is going to be 50, and we're going to take the coefficients from our area polynomial, giving us the coefficients of 1, negative 120, and 3 ,500.
01:04
Draw a line underneath those, and our first step in synthetic division is to bring this one down under the bar...