Use synthetic division to perform each division. Consider the polynomial function (x) = x 3 - 5x

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Use synthetic division to perform each division.

Consider the polynomial function ƒ(x) = x3 - 5x2 + 2x + 7.

(a) Use the intermediate value theorem to show that ƒ has a zero between 1 and 2.

(b) Use Descartes’ rule of signs to determine the different possibilities for the numbers of positive, negative, and nonreal complex zeros.

(c) Use a graphing calculator to find all real zeros to as many decimal places as the calculator will give.

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College Algebra

ISBN: 978-0134697024

12th edition

Authors: Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

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