# Chapter 3, Polynomial and Rational Functions - Section 3.4 - Real Zeros of Polynomials - 3.4 Exercises: 10

$\pm 1, \pm 2, \pm4, \pm8, \pm\frac{1}{2}, \pm\frac{1}{3}, \pm\frac{1}{4}, \pm\frac{1}{6}, \pm\frac{1}{12}, \pm\frac{2}{3},\pm\frac{4}{3}, \pm\frac{8}{3}$

#### Work Step by Step

RECALL: The possible rational zeros of a polynomial function is given by $\dfrac{p}{q}$ where: $p$ = factor of the constant term $q$ = factor of the leading coefficient The given polynomial function has: constant term = $-8$ leading coefficient = $12$ The factors of the constant term are: $\pm1, \pm2, \pm4, \pm8$ The factors of the leading coefficient are: $\pm 1, \pm2, \pm3, \pm4, \pm6, \pm12$ Thus, the possible rational zeros of the given polynomial function are: $\pm 1, \pm 2, \pm4, \pm8, \pm\frac{1}{2}, \pm\frac{1}{3}, \pm\frac{1}{4}, \pm\frac{1}{6}, \pm\frac{1}{12}, \pm\frac{2}{3},\pm\frac{4}{3}, \pm\frac{8}{3}$

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