Question

A certain quadratic function has the factors

3,
(x+2)，
and
(x - 5)
. What are the zeros of this function?

a. x=2 and x=-5
b. x=2, x=5, and x=-3
c. x=-2 and x=5
d. x=-2, x=5, and x=3

Answer 1

`f(x) = 3(x + 2)(x - 5)`

`solving \: f(x) = 0 \\ 3(x + 2)(x - 5) = 0 \\ (x + 2)(x - 5) = (0)/(3) \\ (x + 2)(x - 5) = 0 \\ x + 2 = 0 \: \: \: \: \: \: \: \: \: \: x - 5 = 0 \\ x = - 2 \: \: \: \: \: \: \: \: \: \: x = + 5`

Option C