Answer :

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]


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