MathLiveZero-product property
If the product of two numbers is zero, then at least one of the factors must be zero. It is used to solve polynomial equations by factoring.
ab=0 \implies a=0 \lor b=0What the symbols mean
| first factor, an element of the number system | |
| second factor, an element of the number system |
About this formula
- FieldMathematics
- TopicAlgebra
- LevelHigh school
- Also calledrule of zero product, null factor law, multiplication property of zero, nonexistence of nontrivial zero divisors, zero product rule
- SourceWikidata Q2248306
Write it in Obsidian
MathLive is a free visual math editor for Obsidian. Run Find a formula, type “zero-product property”, and it goes into your note as editable LaTeX. You can also scan formulas from screenshots, PDFs and handwriting.