Question

What are the zeros of the function f(x)=(x+16)(2x-3)(3x+4)

Answer 1

see explanation

Explanation:

given f(x) in factored form, set f(x) = 0 and solve, that is

(x + 16)(2x - 3)(3x + 4) = 0

Equate each factor to zero and solve for x

x + 16 = 0 ⇒ x = - 16

2x - 3 = 0 ⇒ 2x = 3 ⇒ x =
`(3)/(2)`

3x + 4 = 0 ⇒ 3x = - 4 ⇒ x = -
`(4)/(3)`

The zeroes are

x = - 16, x =
`(3)/(2)`, x = -
`(4)/(3)`