Method of Transform

William F. Barnes
wfbarnes.xyz

Abstract

Factoring quadratics often relies on a numerical search for two numbers whose sum and product match given coefficients. In this note, that search is written algebraically through a related monic equation whose solutions determine the middle-term split. Solving this equation gives a direct route to the binomial factors while also connecting the logic behind standard methods such as the AC method and slide-and-divide.

Reference

Factoring quadratics via the method of transform, The Mathematical Gazette.

DOI: 10.1080/00255572.2026.2708216

BibTeX

Quick course

Quick course and examples

A short companion PDF introducing the method of transform and giving numbered worked examples.