Complex Coefficients of a Polynomial

Complex coefficients of a polynomial is part of the Complex numbers topic in NSW Year 12 Mathematics Extension 2 (NESA outcome ME2-12-03). This subtopic solves polynomial and quadratic equations whose coefficients are themselves complex, where the conjugate root theorem no longer applies.

Students and teachers will cover how to compute a complex discriminant, take the square root of a complex number, and apply the quadratic formula with complex coefficients to find every root — a careful extension of equation-solving in the HSC Extension 2 course.