show how to find the zeros, and then describe the other key features of g(x).

g(x) = x^3 – x^2 – 4x + 4

Question

show how to find the zeros, and then describe the other key features of g(x).

g(x) = x^3 – x^2 – 4x + 4

imstuck · Answer

The zeros of the cubic function here is where x = 0.  This means that there are either 2 real positive solutions, and 1 real negative solution, or 0 positive, 1 negative and 2 imaginary.  Do you know Descartes' Rule of Signs?

imstuck · Answer

Anyway, the key to this is to find the first factor, or where x = 0.  You can use synthetic division to do this.  Start simple, like with 1 or -1.  Do you know synthetic division?

imstuck · Answer

This is really a nice, easy one.