Question

Given the function y=−2x⁴

What is the degree of the polynomial function f(x)?
A. 2
B. 3
C. 4
D. 5

Answer 1

The polynomial function f(x) = -2x^4 is a fourth-degree polynomial because the highest exponent of variable x is 4.

Step-by-step explanation:

The degree of a polynomial is the highest power of the variable in the polynomial's term with the highest exponent. In the given function y=-2x⁴, the highest power of x is 4, which means the polynomial is a fourth-degree polynomial. Therefore, the function f(x) has a degree of 4.

The degree of a polynomial function is determined by the highest power of the variable in the function. In the given function, y = -2x4, the highest power of the variable is 4. Therefore, the degree of the polynomial function is 4.