00:01
So we have this function f of x is equal to x to the fourth plus 10x squared plus 9.
00:05
What we can do with this function is we can actually factor it as if it were a polynomial function.
00:10
Since we have this x to the fourth and x squared, if we just have two factors of x squared minus whatever that factor is or plus, we're going to be guaranteed to have this x the fourth term.
00:22
And then if our terms are right, we'll be guaranteed to have this 10x squared and this plus 9 as well.
00:27
So what we want is we want to have two factors that multiplied together equal 9 and added together equal 10.
00:34
Well, that's going to be the factors 9 and 1.
00:37
So we're going to have x squared plus 9 and x squared plus 1 as our two factors here.
00:43
And then what we can do now is we can actually set each of these factors equal to 0 to see what our zeros are going to be.
00:51
So we're going to have x squared plus 9 is equal to 0...