Question

Which expressions are factors of a function that has the zeros x = -5, x = -2 and x = 7?

Select all that apply
A. X+2
B. X-5
C. X+5
D. X+7
E. X-2
F. X-7

Answer 1

The correct factors of the function with zeros at x = -5, x = -2, and x = 7 are (x + 5), (x + 2), and (x - 7).

Step-by-step explanation:

The expressions that are factors of a function with the zeros x = -5, x = -2, and x = 7 are represented by expressions that, when set to zero, give the respective x-values as solutions. For x = -5, the corresponding factor would be (x + 5), because x = -5 is a solution for the equation x + 5 = 0. Similarly, for x = -2, the factor is (x + 2), and for x = 7, the factor is (x - 7). Therefore, the correct factors from the given options are:

• B. (x + 5)
• E. (x + 2)
• F. (x - 7)

Other options do not correspond to the given zeros and thus are not factors of the function.