 In this video, we present the solution to question number one for the practice exam number three for math 1050. We're given a polynomial f of x, which is factored as 2x cubed times x minus one squared times x plus three times 2x minus one to the fifth power. We're supposed to identify which x intercepts crossed the graph of f at the x-axis. So if you're looking for x-intercepts, that's the same thing as looking for the roots. The roots come from the factor, so we can see the x-intercepts right here. There's an x-intercept of zero, one, negative three, and one-half. But it's asking which of these x-intercepts will cross the x-axis. If you're crossing the x-axis, that means you have an odd multiplicity. So we look at the x-moments here, you have a three right here, you have a one right there, and you have a five. So the one with the even multiplicity of the x-minus one, that one, it actually gives you a touching of the x-axis, it doesn't cross. So the intercepts we're looking for are zero, negative three, and one-half, which then leads us to choose option f.