Algebraic and Transcendental Equations

A complex polynomial is a complex function of the form

p(z)= c_nzⁿ + c_n−1zⁿ⁻¹ + … + c₀

where c₀, c₁,… c_n are complex numbers and n is a natural number. A root, or zero, of this polynomial is a complex number w such that p(w) = 0. The fundamental theorem of algebra states that any complex polynomial must have a complex root…