Question

Which of the following is a zero for the function f(x) = (x + 3)(x - 7)(x + 5)?

O x= -7
0 x = -3
O x = 3
O x = 5

Answer 1

The zero for the function f(x) = (x + 3)(x - 7)(x + 5) is x = -3, which is found by setting each factor equal to zero.

Step-by-step explanation:

The function given is f(x) = (x + 3)(x - 7)(x + 5). To find a zero for the function, we need to determine which value of x will make the function equal to zero. By setting each factor equal to zero, we find the solutions:

• x + 3 = 0 → x = -3
• x - 7 = 0 → x = 7
• x + 5 = 0 → x = -5

So the zeros of the function are x = -3, x = 7, and x = -5. Therefore, the answer to the question is x = -3, as it is one of the given options.