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To find the leading coefficient in a polynomial, we look at the term with the highest power of \(x\). In the given polynomial:

\[
-2x^6 + 4x^3 - x + 5
\]

The term with the highest power is \(-2x^6\). The leading coefficient is the coefficient of this term, which is \(-2\).

Therefore, the correct answer is:

**a. -2**

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Here are 5 related questions to expand your understanding:
1. What is the degree of the polynomial \(-2x^6 + 4x^3 - x + 5\)?
2. How do you identify the constant term in a polynomial?
3. What is the leading term in a polynomial and how does it differ from the leading coefficient?
4. How would the leading coefficient change if the polynomial were multiplied by a constant?
5. What is the significance of the leading coefficient in determining the end behavior of a polynomial function?

**Tip:** The leading coefficient plays a significant role in determining the end behavior of a polynomial. For example, if it is negative, the polynomial will tend to negative infinity as \(x\) approaches positive infinity.

What is the leading coefficient in the polynomial -2x^6 + 4x^3 - x + 5?

Learn how to identify the leading coefficient of the polynomial -2x^6 + 4x^3 - x + 5. This question covers the basics of polynomial functions and how to determine the coefficient of the highest degree term, suitable for students in Grades 9-11.

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