Question

Find a degree 3 polynomial with zeros -2, 1, and 5 going through the point (0,-3)

Answer 1

A polynomial with zeros a, b, and c, has equation:

y = k(x - a)(x - b)(x - c)

where k is a constant.

Answer 2

First, just plug in the zeros into a, b, and c.
Then to make sure point (0, -3) is on the graph, adjust the value of k accordingly.