Question

what is the degree of the polynomial f(x) defined below? f(x) = -3x² - 2

Explanation:

Step1: Recall the definition of polynomial degree

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

Step2: Identify the exponents in the polynomial

In the polynomial \( f(x) = -3x^2 - 2 \), the terms are \( -3x^2 \) and \( -2 \) (which can be written as \( -2x^0 \) since \( x^0 = 1 \)). The exponents of \( x \) are 2 and 0.

Step3: Determine the highest exponent

The highest exponent among 2 and 0 is 2.

Answer:

The degree of the polynomial \( f(x) = -3x^2 - 2 \) is 2.