Find all zeros.

Mathematics

1 answer:

Jet001 [13]9 months ago

5 0

Answer:

{ 0, 3, - 3 }

Step-by-step 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 = $\frac{3}{2}$

x + 3 = 0 ⇒ x = - 3

zeros are { 0, $\frac{3}{2}$ , - 3 }

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