4. Consider the polynomial f(x) = x* + 1. (a) product of two irreducible quadratics. Explain why ƒ has no real roots, and why this means f must factor as a (b) Factor f and find all of its complex roots.

4. Consider the polynomial f(x) = x* + 1. (a) product of two irreducible quadratics. Explain why ƒ has no real roots, and why this means f must factor as a (b) Factor f and find all of its complex roots.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.3: Zeros Of Polynomials

Problem 3E

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Question

4. Consider the polynomial f(x) = x* + 1.
(a)
product of two irreducible quadratics.
Explain why ƒ has no real roots, and why this means f must factor as a
(b)
Factor f and find all of its complex roots.

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