Question

Find the four roots of the equation $z^{4} +4=0$ and use them to factor $z^{4} +4$ into quadratic factors with real coefficients.

Answer 1

A compound quadratic is a polynomial that can be expressed in the form , where and are constants, and is a positive integer. This can be generalized to compound polynomials, where the degree of the terms is a multiple of some positive integer.