Degree = $5$ Leading Coefficient = $-2$
Work Step by Step
To find the degree of a polynomial function, we must find the variable with the highest exponent. For this, we must expand the function given: $$f(x) = -2x^3 (x - 1)(x + 5)$$ $$f(x) = -2x^3 (x^2 - x + 5x - 5)$$ $$f(x) = -2x^5 - 4x^4 + 10x^3$$ We can now say that the degree of the polynomial is $5$. The leading coefficient is the coefficient next to the variable with the highest exponent, therefore, it is $-2$.