Skip to main content
Pearson+ LogoPearson+ Logo

Multiplying Polynomials definitions Flashcards

Multiplying Polynomials definitions
Control buttons has been changed to "navigation" mode.
1/15
  • Polynomial
    An algebraic expression consisting of variables and coefficients, combined using addition, subtraction, and multiplication, with non-negative integer exponents.
  • Binomial
    An algebraic expression composed of exactly two terms, typically joined by addition or subtraction.
  • FOIL Method
    A technique for multiplying two binomials by multiplying First, Outer, Inner, and Last terms in a specific order.
  • Distributive Property
    A rule stating that each term in one expression must be multiplied by every term in another when multiplying polynomials.
  • Like Terms
    Terms in a polynomial that have identical variable parts and exponents, allowing them to be combined through addition or subtraction.
  • Special Product Formula
    A shortcut equation used to quickly multiply polynomials that fit recognizable patterns, reducing calculation steps.
  • Difference of Squares
    A pattern where the product of two binomials with opposite signs yields the square of the first term minus the square of the second.
  • Square of a Binomial
    A formula that expands the square of a two-term expression into three terms, following a specific pattern of coefficients and exponents.
  • Cube of a Binomial
    A formula that expands a binomial raised to the third power into four terms, with coefficients following the sequence 1, 3, 3, 1.
  • Coefficient
    A numerical factor that multiplies a variable or product of variables in a term of a polynomial.
  • Exponent
    A number indicating how many times a variable is used as a factor in a term.
  • Term
    A single part of a polynomial, consisting of a coefficient, variables, and exponents, separated by plus or minus signs.
  • Simplified Expression
    A polynomial in which all like terms have been combined and no further reduction is possible.
  • Pattern Recognition
    The process of identifying recurring structures in polynomial multiplication to apply efficient formulas.
  • Multiplicative Pattern
    A predictable arrangement of terms, coefficients, and exponents that emerges when multiplying polynomials.