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5.5 Exercise 25

Avg difficulty 2.5

Use Descartes’ Rule of Signs to determine the maximum possible numbers of positive and negative real zeros for f(x)=2 x 4 −10 x 3 +11 x 2 −15x+12. f \left(x\right) = 2 x^{4} - 10 x^{3} + 11 x^{2} - 15 x + 12. Use a graph to verify the numbers of positive and negative real zeros for the function.

OpenStax Algebra and Trigonometry 2e, 5.5 Zeros of Polynomial Functions, exercise 25

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Adapted from College Algebra © 2021 Rice University. Licensed under CC BY 4.0. Sources: College Algebra 2e, Algebra and Trigonometry 2e, Precalculus 2e, College Algebra with Corequisite Support 2e. Imported at revision 4922e46.