Question

what are the \zeros\ of this polynomial? -2, -1, 0, 1, 2; -2, -1; -2, -1, 1, 2; -2, -1, 4, 1, 2

Explanation:

Step1: Recall the definition of zeros of a polynomial

The zeros of a polynomial are the x - values where the graph of the polynomial intersects the x - axis (i.e., where \(y = 0\)).

Step2: Analyze the graph

Looking at the given graph of the polynomial, we need to find the x - coordinates where the graph crosses or touches the x - axis. From the graph, we can see that the graph intersects the x - axis at \(x=-2\), \(x = - 1\), \(x=1\) and \(x = 2\). The y - coordinate at these points is 0. The graph does not intersect the x - axis at \(x = 0\) (since at \(x=0\), the graph is above the x - axis) and \(x = 4\) is not a relevant intersection point here.

Answer:

C. -2, -1, 1, 2 (assuming the third option is labeled as C, following the order of the options: first option -2, -1, 0, 1, 2; second -2, -1; third -2, -1, 1, 2; fourth -2, -1, 4, 1, 2)