Answer:
see explanation
Step-by-step 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 = [tex]\frac{3}{2}[/tex]
3x + 4 = 0 ⇒ 3x = - 4 ⇒ x = - [tex]\frac{4}{3}[/tex]
The zeroes are
x = - 16, x = [tex]\frac{3}{2}[/tex], x = - [tex]\frac{4}{3}[/tex]