Algebra Two, Unit 4

Question

So I have three roots: -3,-3/2, and 4. How can I find a polynomial for this only using the roots?

Answer 1

change the sign of each root. Than add x to each. Multiply them altogether

(x+3)(x+3/2)(x-4) =

(x^2-x-12)(x+3/2) =

x^3 +x^2/2 -27x/2 -18