Question

Consider the graph of the polynomial function below. Is the degree of the polynomial even or odd?Is the leading coefficient positive or negative?

Answer 1

The degree is even and the leading coefficent is positive with four zeros

Answer 2

The true statements are:

1. The degree of the polynomial is even
2. The leading coefficient is positive

From the attached graph, we can see that:

The curve of the graph crosses the x-axis at four different points

This means that, the polynomial has 4 zeros (i.e. the degree of the polynomial is 4)

4 is an even number

Hence, the degree of the polynomial is even

Because the curve opens upward, it means that:

The leading coefficient is positive

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