Algebra II.1.D.40 - Obstacles Resolved—A Surprising Result – Exit Ticket

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Consider the degree 5 polynomial function P(x) = x5 − 4x

How many linear factors is P guaranteed to have? Explain.

How many zeros does P have? Explain.

How many real zeros does P have? Explain.

How many complex zeros does P have? Explain.

From EngageNY.org of the New York State Education Department. Grade Algebra II Mathematics Module 1, Topic D, Lesson 40. Internet. Available from https://www.engageny.org/resource/algebra-ii-modul...; accessed 21/Apr/2016.