Question

A third-degree polynomial function f has real zeros -2, ½, and 3, and its leading coefficient negative. Write an equation for f. Sketch the graph of f. How many different polynomials functions are possible for f?

Answer 1

Hello,

y=-k(x+2)(x-1/2)(x-3) where k is a real positive.

We may chose k=1
There are an infinite solutions.