factorising
Breaking into parts
Factorising is the British spelling of factorizing—breaking a mathematical expression into factors that multiply together to produce it.
To factorise 12 is to express it as 2 × 2 × 3; to factorise x² − 9 is to write it as (x + 3)(x − 3).
The skill is fundamental to algebra: I spent an hour factorising quadratic equations.
Equations containing squared variables
- trinomialsExpressions with three terms
- binomialsAlgebraic expressions with two terms
- expressionsOutward manifestations of feeling
- coefficientsNumerical multipliers in expressions
variables · exponents · roots · zeroes · x-intercepts · solutions · grouping · cubic
Making something smaller
- cancellingEnding something planned
- streamliningMaking more aerodynamic or efficient
- condensationVapor turning to liquid
- groupingArrangement by shared traits
extracting · brackets · parentheses · distributive · expansion · rearranging
Ability to divide evenly
Matrix-derived scalar quantity
- eigenvaluesTransformation scaling constants
- eigenvectorsVectors scaled by matrices
- triangularThree-cornered in form
- diagonalSlanting line or path
rank · inverse · orthogonal · symmetric · diagonalization · spectral
quadratics
Equations containing squared variables
- trinomialsExpressions with three terms
- binomialsAlgebraic expressions with two terms
- expressionsOutward manifestations of feeling
coefficients · variables · exponents · roots · zeroes · x-intercepts · solutions · grouping · cubic · algebraic
reduction
Making something smaller
- cancellingEnding something planned
- streamliningMaking more aerodynamic or efficient
- condensationVapor turning to liquid
grouping · extracting · brackets · parentheses · distributive · expansion · rearranging
divisibility
Ability to divide evenly
determinant
Matrix-derived scalar quantity
- eigenvaluesTransformation scaling constants
- eigenvectorsVectors scaled by matrices
- triangularThree-cornered in form
diagonal · rank · inverse · orthogonal · symmetric · diagonalization · spectral
factorisingexpanding
Growing in scope
distribution · distributing · foiling · multiplying · combining
factorisingsynthesizing
Combining elements into unity
combining · composing · aggregating · consolidating · building up
factorisingexpanding
Growing in scope
complicating · elaborating · building up · aggregating · compounding
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