Question

find the degree of this polynomial. -5f^9 + 10f^5

Explanation:

Step1: Recall the definition of the degree of a polynomial

The degree of a polynomial is the highest power (exponent) of the variable in the polynomial.

Step2: Identify the exponents of the variable in each term

In the polynomial \(-5f^{9}+10f^{5}\), the first term \(-5f^{9}\) has an exponent of \(9\) for the variable \(f\), and the second term \(10f^{5}\) has an exponent of \(5\) for the variable \(f\).

Step3: Determine the highest exponent

Comparing the exponents \(9\) and \(5\), we see that \(9\) is the higher one.

Answer:

\(9\)