Stage 31 · Complex Numbers

31.6.5 Onward to Counting and Polynomials

31.6 Complex Numbers and Equations: Letting Every Root Appear

Point 5 of 5

31.6.5 Onward to Counting and Polynomials

Core idea

Picture this: now that no roots ever go missing, it's natural to start counting "how many kinds, how many of each" — and the next stop is counting, permutations, and combinations

Module goal. We use complex numbers to complete the roots of real-coefficient equations, reclaiming what a negative discriminant used to cost us, and paving the way for counting and polynomials ahead
eastmath.com · 31.6 Complex Numbers and Equations: Letting Every Root Appear · 31.6.5 Onward to Counting and Polynomials