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Algebra

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Moderate

Rational Zeros of a 3rd Degree Polynomial, Constant 2/3

ALGEBR-V37VMG

Find all zeros of the following third degree polynomial:

$$f(x) = x^{3} - \frac{4}{3}x^{2} - \frac{5}{3}x + \frac{2}{3}$$

A

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

B

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

C

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

D

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