polynomial function
Sum of terms
A polynomial function is a mathematical function built from variables and constants using only addition, subtraction, multiplication, and non-negative integer exponents.
The simplest polynomials are linear functions like 2x + 3; higher-degree polynomials include quadratics, cubics, and beyond.
Polynomial functions are continuous and smooth, making them fundamental in calculus and modeling: We can approximate almost any curve with a polynomial function.
Number multiplying a variable
- variableProne to fluctuation
- exponentSuperscript showing power
- degreeUnit of measurement
- termFixed period or word
quadratic · cubic · quintic · monomial · binomial · trinomial · standard form · expanded form
Symmetrical open plane curve
- curveSmooth, angleless line
- x-interceptWhere curve crosses horizontal
- y-interceptVertical axis crossing point
- zerosSymbols for nothing
roots · turning point · local maximum · local minimum · inflection point · symmetry · concavity · vertex
Decomposing into multiplicative parts
- quadratic formulaEquation solving ax²+bx+c=0
- completing the squareRewriting quadratics as squares
- substitutionExchange of one for another
- groupingArrangement by shared traits
coefficient
Number multiplying a variable
term · quadratic · cubic · quintic · monomial · binomial · trinomial · standard form · expanded form · like terms
parabola
Symmetrical open plane curve
- curveSmooth, angleless line
- x-interceptWhere curve crosses horizontal
- y-interceptVertical axis crossing point
zeros · roots · turning point · local maximum · local minimum · inflection point · symmetry · concavity · vertex · axis of symmetry
factorization
Decomposing into multiplicative parts
- quadratic formulaEquation solving ax²+bx+c=0
- completing the squareRewriting quadratics as squares
- substitutionExchange of one for another
polynomial functionexponential function
Output multiplies by fixed ratio
sine function · natural logarithm · exponential growth · infinite series
polynomial, function, poly, nominal, name, nominate, nomination, nominee, nomenclature