Question 320120
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*[tex \LARGE \ \ \ \ \ \ \ \ \ \ p(x)\ =\ x^3\ +\ 3x^2\ +\ 4x\ -\ 8]


Use the rational root theorem.  Possible rational roots for this polynomial function are *[tex \LARGE \pm1,\ \pm2,\ \pm4,\ \pm8]


Use synthetic division to check the eight possible roots.  If you need a review of synthetic division see www.purplemath.com


In fact, there is one rational root for this function.  Once you find it by synthetic division, you will have a quadratic factor.  Use the quadratic equation to determine the other two zeros of the original function.



John
*[tex \LARGE e^{i\pi} + 1 = 0]
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