Question

Which of the following polynomial functions has the given zeros?

A) f(x) = (x + 5)(x + 5)(x - 5)
B) f(x) = (x - 5)(x + 5)
C) f(x) = (x + 5)(x - 5)
D) f(x) = (x + 5)(x + 5)(x + 5)

Answer 1

The polynomial function that has the given zeros is option C) f(x) = (x + 5)(x - 5).

Step-by-step explanation:

The polynomial function that has the given zeros is option C) f(x) = (x + 5)(x - 5).

To determine this, we can use the zero-product property, which states that if a product of factors is equal to zero, then at least one of the factors must be zero. Since the zeros are -5 and 5, we can set each factor equal to zero and solve for x:

x + 5 = 0, x - 5 = 0.

This will give us x = -5 and x = 5, which are the given zeros.