Chapter 5.FR2, Problem 1E

To determine

To find:

The degree of the polynomial.

Answer to Problem 1E

Solution:

The degree of the polynomial is $5$.

Explanation of Solution

Given:

Figure $\left(1\right)$

The given polynomial has no complex zeros and no repeated roots.

Approach:

The degree of the polynomial is equal to the number of times the graph intersects the horizontal axis.

Calculation:

In figure $\left(1\right)$ the curve crosses the horizontal axis at $5$ points and the given polynomial has no complex zeros and no repeated roots.

Thus the degree of polynomial is $5$.

Conclusion:

Hence, the degree of the polynomial is $5$.