17:28 (watch on YouTube, opens in a new tab)Multivariate Factorisation: A More General Version of the Factor Theorem | TMUA (watch on YouTube, opens in a new tab)
The factor theorem works with more than one variable, and it can make some awkward-looking algebra much simpler. The idea behind multivariate polynomial factorisation and a few basic examples, then three problems: factorising a trigonometric equation (Multivariate Factorisation Topic Test, Q6), solving an inequality (JZ Exam Set B Paper 2, Q15) and finding the range of an angle (TMUA 2017 Paper 1, Q20). The focus is on spotting factors and understanding the structure of an expression, so you can recognise familiar ideas in unfamiliar questions.
- Multivariate factorisation
- Factor theorem
- Trigonometric equations
- Inequalities