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

The zeros of a function are the value of x, when the function equals 0

The zeros of are 6 and -4

The function is given as;

Expand

Factorize

Factor out x + 4

Set to 0

Split

Solve for x

Hence, the zeros of are 6 and -4

Read more about zeros of functions at:

link

x = 6, x = -4

Step-by-step 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