Question

What is the degree of the polynomial \(7u^6 - \frac{3}{2}u^4 + 6u^2 - 8\) ?

• A. 7
• B. \(\frac{-3}{2}\)
• C. 6
• D. -8

Answer 1

The Correct Option is C

To solve the problem, we need to find the degree of the polynomial:

\( 7u^6 - \frac{3}{2}u^4 + 6u^2 - 8 \)

1. Understanding the Degree of a Polynomial:
The degree of a polynomial is the highest power (exponent) of the variable in the expression.

2. Analyzing Each Term:

- \( 7u^6 \): Degree = 6

- \( -\frac{3}{2}u^4 \): Degree = 4

- \( 6u^2 \): Degree = 2

- \( -8 \): Constant term, Degree = 0

3. Identifying the Highest Degree:
Among all terms, the highest power of \( u \) is 6.

Final Answer:
The degree of the polynomial is 6 (Option C).