Question

which expressions are factors of a function that has the zeros x = −3, x = −2, and x = 4? select all that apply.

Answer 1

The factors of a function with zeros at x = -3, x = -2, and x = 4 are (x + 3), (x + 2), and (x - 4).

Step-by-step explanation:

The expressions that are factors of a function with zeros at x = −3, x = −2, and x = 4 are (x + 3), (x + 2), and (x - 4). If a function has a zero at x = a, then (x - a) is a factor of that function. So, we use the given zeros to create the respective factors of the polynomial by reversing the sign. The complete factored form of the function would be f(x) = A(x + 3)(x + 2)(x - 4), where 'A' represents a nonzero constant that can be determined if we have a specific point that the function passes through or additional information about the function's leading coefficient.