Question

classify this polynomial. \\(2u^3 - 7u^2 - u - 6\\) \\(\boxed{\text{linear}}\\) \\(\boxed{\text{quadratic}}\\) \\(\boxed{\text{cubic}}\\) \\(\boxed{\text{none of these}}\\)

Explanation:

Step1: Recall polynomial degree rules

A polynomial's degree is the highest power of the variable. For \(2u^3 - 7u^2 - u - 6\), the highest power of \(u\) is \(3\).

Step2: Match degree to polynomial type

• Linear: degree 1.
• Quadratic: degree 2.
• Cubic: degree 3.

Since the polynomial has degree 3, it's cubic.

Answer:

cubic