How to solve polynomial fuction?

Question

Graph the polynomial functions. Note x- and y-intercepts, multiplicity, and end behavior.

I don't know exactly how to solve this polynomial formula

Answer 1

1) The end-behavoor is from -inf to +inf (like x^3) - so the polynomial has odd power

2) -300 is the root, so (x+300) is a factor, likely 2xmultiplicity (like x^2) - so (x+300)^2

3) 100 is the root, so (x-100) is a factor, likely 3xmultiplicity (like x^3) - so (x-100)^3

4) The Y-intercept allows to find the scaling coefficient A

a * (x+300)^2 * (x-100)^3

If you plug-in x=0 - you should get -90000:

a * 300^2 * -100^3 = -90000

So a = 10^-6

Final answer: 10^-6 * (x+300)^2 * (x-100)^3

Polynomial 5th degree (so the end-behavoir is correct)