Construct an equation for a polynomial with zeros -3, 2, and -2 with multiplicities 1, 2, and 2, respectively that has a y-intercept of 600. What is the leading coefficient?

I have no idea how to do this one.

When a factor has multiplicity 2, then it is expressed as (x-2)^{2}

-3 occurs once, so you have (x+3)

You need something like (x+3)(x+2)^{2}(x-2)^{2}+\text{something} so you

get a polynomial with a constant of 600. The polynomial will equal 600 when x=0.