The possible degree of the polynomial function in the graph is 4. The zeros are -1, 0, 0.5 and 1
Before we can determine the degree of the polynomial, we need to get the zeros of the polynomial
- The number of zeros of the polynomial function determines its degree
- The points where the curves cut the x-axis are the zeros of the function
- From the graph, we can see that the curve cuts the x-axis at x = -1, 0, 0.5 and 1
- Since the curves cut the x-axis at 4 points, hence the degree of the polynomial is 4.
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