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Algebra

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Moderate

Rational Zeros for a Third Degree with Constant 3/4

ALGEBR-HVMX1M

Find all rational zeros of the function:

$$f(x) = x^{3} - 3x^{2} - \frac{1}{4}x + \frac{3}{4}$$

A

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

B

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

C

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

D

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