Question

The zeros of the function p(x) = x2 – 2x – 24 are

Answer 1

Answer: x = 6, x = -4

Explanation:

Find two numbers whose product is the c-value (-24) and sum is the b-value (-2):

0 = x² - 2x - 24

∧

1 -24

2 -12

3 -8

4 -6 = -2 This works!

0 = (x + 4)(x - 6)

Apply the Zero-Product Property (set each factor equal to zero and solve)

0 = x + 4 0 = x - 6

-4 = x 6 = x