Final answer:
To solve the cubic function f(x)=-3x^3-21x^2-30x, we need to find its roots by factoring, using synthetic division, or applying numerical methods like a graphing calculator.
Step-by-step explanation:
The question seems to be related to finding the roots of a cubic function. The function in question is f(x)=-3x^3-21x^2-30x. To find the roots of this function, one could factor if possible, use synthetic division, or apply numerical methods like the use of a graphing calculator. Since the equation is a cubic one, we expect it may have up to three real roots, though some might be repeated. The content loaded hints at various different types of mathematical operations, including solving quadratic equations and sketching functions, but these do not provide a direct method for solving the cubic equation presented. However, we can use the factor theorem to see if there are any obvious factors, and then potentially factorize the equation further to find the roots. For instance, if we find a root r, we could then factor out (x-r) and solve the remaining quadratic equation. If no rational factors are apparent, numerical methods or a graphing calculator might be necessary to find approximate roots.