Final answer:
To find the zeros of the polynomial function f(x), we need to find the values of x for which f(x) is equal to zero. Given that f(-1) = 0, we can substitute x = -1 into the function f(x) and solve for f(x) = 0. Therefore, the zero of the function f(x) is x = -1.
Step-by-step explanation:
To find the zeros of the polynomial function f(x), we need to find the values of x for which f(x) is equal to zero.
Given that f(-1) = 0, we can substitute x = -1 into the function f(x) and solve for f(x) = 0:
f(-1) = (-1)^3 - 11(-1)^2 + 15(-1) + 27 = 0
Simplifying this equation gives us:
-1 + 11 - 15 + 27 = 0
Which can be further simplified to:
22 - 16 = 0
Therefore, the zero of the function f(x) is x = -1.