Question

A certain quadratic function has the factors 3, ( (x+2) ), and ( (x-5) ). What are the zeros of this function?

a) -2, 5
b) -3, 2
c) 2, -5
d) -3, 5

Answer 1

The zeros of the quadratic function given by the factors 3, (x + 2), and (x - 5) are x = -2 and x = 5, which correspond to answer choice a) -2, 5.

Step-by-step explanation:

The zeros of a quadratic function can be found by setting the function equal to zero and solving for the variable x. Given the factors 3, (x + 2), and (x - 5), we can set up the function as follows:

f(x) = 3 × (x + 2) × (x - 5)

To find the zeros, we set f(x) to be zero:

0 = 3 × (x + 2) × (x - 5)

The solutions to this equation are the values of x that make each factor zero. Therefore, the zeros are x = -2 and x = 5.