00:01
Hello, we're doing well.
00:02
So we've got our f of x function here, our k value here.
00:05
We need to determine if this k value is a zero of this f of x function.
00:10
So we're going to use synthetic division to find that out.
00:13
The first you may notice that we're missing an x squared term here in this f of x function.
00:18
We've got an x to the fourth term, an x cubed term, an x term, and a constant, but no x squared term.
00:23
But we need that x squared term in order to use synthetic division.
00:26
So we're just going to add in a plus zero x squared to this function.
00:31
So now we can use synthetic division.
00:34
So we need to first write out all of the coefficients of our f of x functions.
00:38
So our coefficients are 5, 2, got to include this 0 here that we added in, minus 1 and 3.
00:49
And we're dividing this by our k value 2 5ths.
00:57
Just scroll down a bit.
01:00
So we can bring down this 5 here.
01:03
5 times 2 5 times 2 5ths gives this 2, 2 times 2.
01:07
Plus 2 is 4.
01:08
4 times 2 fifths is 8 fifths...