Question

classify by degree of polynomial: $7x^3 - 8x^2 -4x + 9$ options: linear, cubic, quadratic, constant

Explanation:

Step1: Recall degree of polynomial

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

Step2: Identify highest exponent

In the polynomial \(7x^{3}-8x^{2}-4x + 9\), the terms have exponents 3, 2, 1, and 0 (for the constant term 9). The highest exponent is 3.

Step3: Classify by degree

A polynomial with degree 3 is called a cubic polynomial.

Answer:

Cubic (corresponding to the "Cubic" option)