Question

Find all zeros.

O 0,
ㅇㅇ,
3
2
f(x) = x (2.x - 3)(x + 3)
-3
-4)
{0, 3, -3)
0 (0.-/-3)
2

Answer 1

{ 0, 3, - 3 }

Explanation:

f(x) = x(2x - 3)(x + 3)

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

x(2x - 3)(x + 3) = 0

equate each factor to zero and solve for x

x = 0

2x - 3 = 0 ⇒ 2x = 3 ⇒ x =
`(3)/(2)`

x + 3 = 0 ⇒ x = - 3

zeros are { 0,
`(3)/(2)` , - 3 }