A polymonial f(x) and one or more of its zero are given. f(x) = xˆ4 - 10xˆ3 + 24xˆ2 + 50x -145. 5 + 2i is a zero. a) Find all the zeros. write the answer in exact form. b) Factor f(x) as a product of linear factors.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 54E
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A polymonial f(x) and one or more of its zero are given.

f(x) = xˆ4 - 10xˆ3 + 24xˆ2 + 50x -145.

5 + 2i is a zero.

a) Find all the zeros. write the answer in exact form.

b) Factor f(x) as a product of linear factors.

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