Question

Consider the polynomial function g(x)=10x⁹-50x⁶-500x². What is the degree of the polynomial?

1) 9
2) 6
3) 2
4) Cannot be determined

Answer 1

The degree of the polynomial function g(x)=10x⁹-50x⁶-500x² is 9.

Step-by-step explanation:

The degree of a polynomial is the highest power of the variable (indeterminate) in the polynomial. In a polynomial expression, the variable is raised to various powers, and the term with the highest power determines the degree of the entire polynomial.

The polynomial function g(x)=10x⁹-50x⁶-500x² is a polynomial of degree 9. The degree of a polynomial is determined by the highest exponent on the variable, which in this case is 9. Therefore, the correct answer is option 1) 9.