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Intro to Polynomials definitions

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  • Polynomial

    An algebraic expression with variables raised only to positive whole number exponents and terms separated by plus or minus signs.
  • Monomial

    A type of algebraic expression consisting of a single term, which may include variables and coefficients.
  • Binomial

    An algebraic expression made up of exactly two terms, each with variables raised to positive whole number exponents.
  • Trinomial

    An algebraic expression containing exactly three terms, each separated by plus or minus signs.
  • Term

    A part of an algebraic expression separated by addition or subtraction, often including variables and coefficients.
  • Coefficient

    A numerical factor placed in front of variables in a term, which can be positive, negative, or fractional.
  • Exponent

    A positive whole number indicating how many times a variable is multiplied by itself in a term.
  • Degree of a Term

    The sum of all exponents on the variables within a single part of an algebraic expression.
  • Degree of a Polynomial

    The highest degree among all the terms in an algebraic expression.
  • Constant

    A term in an algebraic expression with no variable, always having a degree of zero.
  • Algebraic Expression

    A mathematical phrase combining numbers, variables, and operations, but no equals sign.
  • Variable

    A symbol, often a letter, representing an unknown or changeable value in an algebraic expression.
  • Multivariable Polynomial

    An algebraic expression with more than one variable, each raised to positive whole number exponents.