The complex zeros of f 1x2 = x4 + 1 For the function f1x2 = x4 + 1:(a) Factor f into the product of two irreducible quadratics. (Hint: Complete the square by adding and subtracting 2x2.2 (b) Find the zeros of f by finding the zeros of each irreducible quadratic.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 21RE
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The complex zeros of f 1x2 = x4 + 1 For the function f1x2 = x4 + 1:
(a) Factor f into the product of two irreducible quadratics. (Hint: Complete the square by adding and subtracting 2x2
.2

(b) Find the zeros of f by finding the zeros of each irreducible quadratic.

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