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Rational Zero of 3rd Degree Polynomial with Constant -9/2

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Find all zeros of the following third degree polynomial:

$$f(x) = x^{3} - \frac{13}{2}x + 12x - \frac{9}{2}$$

A

$x = {3, -3, \frac{1}{2}}$

B

$x = {3, 3, -\frac{1}{2}}$

C

$x = {3, 3, \frac{1}{2}}$

D

$x = {3, -3, -\frac{1}{2}}$