Content atlas · skill

Rewrite expressions to reveal zeros, extrema, growth, or other features

The learner can rewrite expressions to reveal zeros, extrema, growth, or other features. This capability is distinct from mere exposure to or isolated use of factoring; completing square.

2 published problems

1. The Last Safe Positive Real Number — Use a safe zone and a guaranteed step-by-step increase to prove the exact last point of the Mandelbrot set on the positive real axis.
2. How Far East Can the Mandelbrot Set Go? — Trap one nonreal orbit to prove the Mandelbrot set reaches surprisingly far east, then use the second iterate to build a wall it cannot cross.