00:01
So in this problem, we're given the graph of a polynomial function whose degree is four.
00:06
We want to know which of the following statements is true.
00:09
So the first statement says it's an even degree.
00:12
Well, because they told us the degree was four and four is an even number, it would be even degree.
00:16
So the first statement is true.
00:19
Now, the second statement says that the function has a zero of multiplicity two.
00:24
So there's a zero of multiplicity of two.
00:32
Well, remember, a zero means where it hits our x -axis, and if it's going to be a multiplicity of two, that means the graph is going to hit our x -axis, but not cross it, it's going to bounce back.
00:43
So if you notice here at negative 1, the graph hasn't zero at negative 1, but because it doesn't cross, it goes through, that means it would have an even multiplicity.
00:53
So the second statement is also true...