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The polynomial provided is:

\[
p(x) = -6x^5 + x^4 + 5x^2 - 4
\]

To find the degree of a polynomial, you look for the highest power (exponent) of the variable \( x \).

In this case, the highest exponent of \( x \) is 5, which comes from the term \( -6x^5 \).

Thus, the degree of the polynomial is **5**.

The correct answer is **B) 5**.

Would you like further details or explanations? Here are some related questions:

1. What is the general form of a polynomial?
2. How do you determine the leading coefficient of a polynomial?
3. Can a polynomial have negative exponents?
4. What is the degree of a constant polynomial?
5. How does the degree of a polynomial relate to its graph?

**Tip**: The degree of a polynomial not only tells you about the highest power of \( x \) but also gives important information about the shape and number of possible turning points in its graph.

For p(x) = -6x^5 + x^4 + 5x^2 - 4, what is the degree of the polynomial?

Determine the degree of the polynomial p(x) = -6x^5 + x^4 + 5x^2 - 4. Learn how to find the highest exponent in this algebraic expression, covering key concepts related to polynomials. Ideal for high school students in Grades 9-12.

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