Explain how to determine the zeros of f (x) = x (x+12) (x-7)

The zeros are - 12,0,7

Step-by-step explanation:

Set the equation equal to zero

f (x) = x (x+12) (x-7)

0 = x (x+12) (x-7)

Using the zero product property

0 = x 0 = x+12 0 = x-7

Solve each equation

x=0 x = - 12 x=7

The zeros are - 12,0,7

Set each term equal to zero.

x = 0

x + 12 = 0. Subtract 12 from each side.

x = - 12

x - 7 = 0. Add 7 to each side.

x = 7.

x = 7, - 12, 0