00:01
So this question wants me to write an expression in factored form for the polynomial at least possible degree graph shown.
00:07
So the first thing i'm going to do is i'm going to find my x intercept.
00:12
So i have an x intercept at negative 3.
00:15
And what i'm noticing is it's bouncing at negative 3.
00:19
So i'm going to write that twice because it's going to remind me that i need to put a multiplicity of 2.
00:26
Then i have another one at 4.
00:28
Again, it's bouncing.
00:32
So i'm going to write it twice to remind myself that i need a multiplicity of two because it bounces.
00:37
And it also tells me that i have a y intercept at 2.
00:42
So 0, 2, it has to go through.
00:46
So let's write the factors first.
00:48
So f of x equals.
00:52
I'm going to write these as factors.
00:56
So i'm going to add 3.
00:59
So i write it as x plus 3.
01:02
And since it repeats, i'm going to put squared.
01:05
I'm going to subtract 4.
01:08
And again, x minus 4 would be the factor...