Explanation:
The expression that we have is:
[tex]f(x)=-5x^5-6x^6-3x^2+9x[/tex]
And we need to find the leading coefficient of this polynomial function.
The leading coefficient is the coefficient of the term that contains the highest degree, or exponent of a variable.
In this case, the term with the highest degree is:
[tex]f(x)=-5x^5\boxed{-6x^6}-3x^2+9x[/tex]
And the coefficient of this term is -6, therefore, -6 is the leading coefficient.
Answer:
-6
