Question

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

Answer 1

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

Answer 2

The zeros are -12,0,7

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