Question

If f(x)=x³-11x²+15x+27and f(-1)=0, then find all of the zeros of f(x) algebraically

Answer 1

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.