polynomial
Many-termed equation
A polynomial is a mathematical expression consisting of variables and coefficients combined using addition, subtraction, and multiplication, with variables raised only to non-negative integer powers: 3x² + 2x - 5.
Polynomials form the backbone of algebra, appearing in equations, graphing, and modeling.
The degree of a polynomial is its highest exponent.
Simple polynomials have names: a monomial has one term, a binomial two, a trinomial three.
Single-term algebraic expression
- coefficientNumber multiplying a variable
- degreeUnit of measurement
- variableProne to fluctuation
- termFixed period or word
expression · factorization · expansion · indeterminate · long division · remainder · quotient · like terms
Involving squared terms
- cubicOf three dimensions
- quinticFifth-degree polynomial
- linearArranged in straight succession
- constantFixed, unvarying quantity
homogeneous · irreducible · primitive · characteristic · minimal · Taylor · orthogonal · symmetric
Symmetrical open plane curve
- curveSmooth, angleless line
- graphVisual data display
- plotStoryline or land parcel
- vertexPoint where edges converge
axis · concavity · inflection · tangent · intercept · x-intercept · y-intercept · turning point
Numerical absence of quantity
- solutionAnswer or liquid mixture
- multiplicityState of being many
- complex rootsMultifaceted underlying causes
- real rootsAuthentic foundational beginnings
Finite problem-solving procedure
- evaluationDetermining worth or quality
- floating-pointDecimal number representation
- precisionAccuracy of measurement
- iterationRepeated procedural pass
Quality of staying unchanged
- alternatingOccurring in turns
- homogeneousAlike in composition throughout
- permutationArrangement in specific order
monomial
Single-term algebraic expression
- coefficientNumber multiplying a variable
- degreeUnit of measurement
- variableProne to fluctuation
term · expression · factorization · expansion · indeterminate · long division · remainder · quotient · like terms · standard form
quadratic
Involving squared terms
constant · homogeneous · irreducible · primitive · characteristic · minimal · Taylor · orthogonal · symmetric · chromatic
parabola
Symmetrical open plane curve
vertex · axis · concavity · inflection · tangent · intercept · x-intercept · y-intercept · turning point · local maximum
zero
Numerical absence of quantity
- solutionAnswer or liquid mixture
- multiplicityState of being many
- complex rootsMultifaceted underlying causes
algorithm
Finite problem-solving procedure
- evaluationDetermining worth or quality
- floating-pointDecimal number representation
- precisionAccuracy of measurement
iteration · convergence · approximation · bisection · interpolation
invariance
Quality of staying unchanged
- alternatingOccurring in turns
- homogeneousAlike in composition throughout
- permutationArrangement in specific order
- algebravariables, equations, equation, algebraic equations, roots
- polynomialsmonomial, coefficient, degree, cubic, quadratic
- abstract algebraalgebra, group, isomorphism, Boolean algebra, commutator
- Algorithm Analysisruntime, running time, growth rate, complexity, linear
- computational mathalgorithm, linear algebra, calculus, differential equations, finite element
- smooth functionssine, cosine, tangent, exponential, logarithm
polynomialexponential function
Output multiplies by fixed ratio
superexponential · infinite series · monomial · constant · linear function
- polynomial equationsExpressions equating summed variable terms
- polynomial functionSum of variable powers