Question

A quadratic has been factored, as shown below:

f(x) = (x − 6)(x + 5)

What are the zeros of the quadratic?
a
6 and −5
b
6 and 5
c
-6 and 5
d
-6 and -5

Answer 1

a

Explanation:

Given

f(x) = (x - 6)(x + 5)

To find the zeros, let f(x) = 0, that is

(x - 6)(x + 5) = 0

Equate each factor to zero and solve for x

x - 6 = 0 ⇒ x = 6

x + 5 = 0 ⇒ x = - 5