Question

Kelly determines the zeros of the function f(x) to be -6 and 5. What could be Kelly's function?

a) f(x) = (x + 6)(x - 5)
b) f(x) = (x - 6)(x + 5)
c) f(x) = (x - 6)(x - 5)
d) f(x) = (x + 6)(x + 5)

Answer 1

Kelly's function with zeros at -6 and 5 is f(x) = (x + 6)(x - 5), which corresponds to answer choice a).

Step-by-step explanation:

If Kelly has determined the zeros of the function to be -6 and 5, this means those are the values for which f(x) will equal zero. Therefore, the factors of the polynomial will be derived from solving equations x = -6 and x = 5. The factors that correspond to these solutions are (x + 6) for x = -6 and (x - 5) for x = 5.

The correct function that has zeros at x = -6 and x = 5 is f(x) = (x + 6)(x - 5). So, the correct answer is a) f(x) = (x + 6)(x - 5).