Chapter 3 - Section 3.5 - Complex Zeros and the Fundamental Theorem of Algebra - 3.5 Exercises - Page 293: 13

a. Zeros of P(x): -2, 2, -2i, 2i b. Factored Form: $P(x) = (x-2) (x+2) (x+2i)(x-2i)$

$P(x) = x^4 -16$ $P(x) = (x^2 -4)(x^2 + 4)$ $0 = x^2 - 4$ $x = +/- 2$ $0 = x^2 + 4$ $x = +/- 2i$ a. Zeros of P(x): -2, 2, -2i, 2i b. Factored Form: $P(x) = (x-2) (x+2) (x+2i)(x-2i)$