Question

what is the leading coefficient of $6x^{2}+5x^{3}-x^{4}$? select the correct response: 6, 5, 2, -1, 4, 3

Explanation:

Step1: Identify the highest degree

The polynomial is $6x^2 + 5x^3 - x^4$. The degrees of the terms are 2, 3, 4. The highest degree is 4.

Step2: Find the coefficient of the highest degree term

The term with degree 4 is $-x^4$, which is equivalent to $-1 \cdot x^4$. Its coefficient is -1.

Answer:

-1