Smith Davison
10/21/2023 · Senior High School

Answer the following questions about the equation below. \( 12 x^{3}+53 x^{2}-34 x+5=0 \) (a) List all rational roots that are possible according to the Rational Zero Theorem. Choose the correct answer below A. \( \pm 1, \pm 5 \) B. \( \pm 1, \pm 2, \pm 3, \pm 4, \pm 6, \pm 12 \) C. \( \pm 1, \pm 2, \pm 3, \pm 4, \pm 6, \pm 12, \pm \frac{1}{5}, \pm \frac{2}{5}, \pm \frac{3}{5}, \pm \frac{4}{5}, \pm \frac{6}{5}, \pm \frac{12}{5} \) D. \( \pm 1, \pm 5, \pm \frac{1}{2}, \pm \frac{5}{2}, \pm \frac{1}{3}, \pm \frac{5}{3}, \pm \frac{1}{4}, \pm \frac{5}{4}, \pm \frac{1}{6}, \pm \frac{5}{6}, \pm \frac{1}{12}, \pm \frac{5}{12} \)

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The possible rational roots are \( \pm 1, \pm 5, \pm \frac{1}{2}, \pm \frac{5}{2}, \pm \frac{1}{3}, \pm \frac{5}{3}, \pm \frac{1}{4}, \pm \frac{5}{4}, \pm \frac{1}{6}, \pm \frac{5}{6}, \pm \frac{1}{12}, \pm \frac{5}{12} \).

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