Question

What are the possible degrees of the polynomial function in the graph?


2


3


4


5


6


7


8

Answer 1

Answer:

4, 6, 8

Step-by-step explanation:

Answer 2

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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