Teach complex numbers with confidence using this comprehensive, classroom-tested resource that goes far beyond a traditional worksheet pack. Students are guided from fundamental concepts to advanced ...

👉 Learn how to find all the zeros of a polynomial given one complex zero. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are ...

👉 Learn how to write the equation of a polynomial when given complex zeros. Recall that a polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the ...

Harmonic polynomials, constructed as sums of analytic and conjugate-analytic components, present a rich interplay between complex analysis and geometric function theory. Unlike purely analytic ...

Hilbert’s 12th problem asked for novel analogues of the roots of unity, the building blocks for certain number systems. Now, over 100 years later, two mathematicians have produced them. Problems in ...

Algebraic dynamics of polynomial automorphisms examines the long-term behaviour of invertible polynomial self-maps on affine or projective varieties, with a focus on complex surfaces and ...

A UNSW Sydney mathematician has discovered a new method to tackle algebra's oldest challenge—solving higher polynomial equations. Polynomials are equations involving a variable raised to powers, such ...