Maxwell Malone
02/14/2024 · High School

Answer the following questions about the equation below. \( 8 x^{3}+34 x^{2}-29 x+5=0 \) B. \( \pm 1, \pm 5 \) D. \( \pm 1, \pm 5, \pm \frac{1}{2}, \pm \frac{5}{2}, \pm \frac{1}{4}, \pm \frac{5}{4}, \pm \frac{1}{8}, \pm \frac{5}{8} \) (b) Use synthetic division to test several possible rational roots in order to identify one actual root. One rational root of the given equation is \( \frac{1}{2} \). (Simplify your answer.) (c) Use the root from part (b) to solve the equation. The solution set is \( \left\{\begin{array}{l}\text { B. }\end{array}\right. \) (Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any numbe as needed.)

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The solution set is \( \left\{ \frac{1}{2}, \frac{1}{4}, -5 \right\} \).

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