The complex zeros of f(x) = x4 + 1 For the function f(x) = x4 + 1:(a) Factor f into the product of two irreducible quadratics. (Hint: Complete the square by adding and subtracting 2x2.) (b) Find the zeros of f by finding the zeros of each irreducible quadratic.
The complex zeros of f(x) = x4 + 1 For the function f(x) = x4 + 1:(a) Factor f into the product of two irreducible quadratics. (Hint: Complete the square by adding and subtracting 2x2.) (b) Find the zeros of f by finding the zeros of each irreducible quadratic.
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.5: Zeros Of Polynomial Functions
Problem 79E
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The complex zeros of f(x) = x4 + 1 For the function f(x) = x4 + 1:
(a) Factor f into the product of two irreducible quadratics. (Hint: Complete the square by adding and subtracting 2x2.)
(b) Find the zeros of f by finding the zeros of each irreducible quadratic.
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