Chapter 3, Polynomial and Rational Functions - Section 3.5 - Complex Zeros and the Fundamental Theorem of Algebra - 3.5 Exercises - Page 329: 5

$ a.\quad$true $ b.\quad$true $ c.\quad$False. There is no real number whose even power yields a negative value.

$ a.\quad$ True, by the Zeros Theorem. $b.$ True, by the Complete Factorization Theorem. $c.$ $x^{4}+1=0$ $x^{4}=-1$ There is no real number whose even power yields a negative value. False.