00:01
This problem wants us to write a polynomial based off the given information, and it looks like the multiple choice options are in factored form, so that's how we'll leave it as well.
00:08
But we want zeros of negative 2, 2, 4, and the polynomial needs to be degree 3 with a wider set of negative 32.
00:15
So let's worry about the zeros first.
00:17
To write these in binomial form, we'll take the opposite sign, so negative 2 comes from the binomial of x plus 2.
00:24
Positive 2 comes from the binomial x minus 2, positive 4 comes from the binomial x minus 4.
00:30
So that takes care of our zeros and it takes care of our degree being three because x times x times x will give us the highest exponent of x cubed, which would make this degree three.
00:39
But we also want to make sure the y intercept is going to be negative 32 like it's supposed to be.
00:43
And a y intercept is zero for x and then the y value, wherever it's crossing the y axis.
00:50
So if we wanted to test this, we would plug in the zero for every x value.
00:55
And if it comes out to negative 32, we're done...