What are the zeros of the polynomial function?

Select each correct answer.
-3
-2
-1
0
-1
2

To find the zeros of the polynomial function , we can start by using the Rational Root Theorem and synthetic division to test possible rational roots. By checking various values, we discover that is indeed a root. After factoring out , we can further explore the remaining quadratic equation to find additional roots.

Once we factor the polynomial completely, the zeros we find are and potentially another set of values from the quadratic factor. Therefore, among the options given, is a correct zero, while the others (-3, -2, -1, and 0) do not satisfy the equation.

In practice, finding the zeros of polynomials is crucial, as they can represent critical points in graphs, where the function intersects the x-axis. Understanding these intersections helps in sketching functions and determining their behavior, making this concept a key part of algebra and calculus.