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Special Products definitions
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Binomial
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Binomial
An algebraic expression containing exactly two distinct terms, often combined by addition or subtraction.
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Terms in this set (15)
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Binomial
An algebraic expression containing exactly two distinct terms, often combined by addition or subtraction.
Monomial
An algebraic expression consisting of a single term, which may include a coefficient and variable(s).
Trinomial
An algebraic expression made up of three distinct terms, typically resulting from special product formulas.
Perfect Square Trinomial
A three-term polynomial formed by squaring a binomial, featuring a specific pattern in its coefficients.
Coefficient
A numerical factor that multiplies a variable or term in an algebraic expression.
Exponent
A number indicating how many times a base is used as a factor in repeated multiplication.
FOIL Method
A technique for multiplying two binomials by combining products of First, Outside, Inside, and Last terms.
Special Product Formula
A shortcut for multiplying certain polynomial expressions, such as binomials, to simplify calculations.
Square of a Binomial
A formula that expands the square of a two-term expression into a three-term polynomial.
Difference of Squares
A formula yielding a two-term result when multiplying conjugate binomials, eliminating the middle terms.
Conjugate
A pair of binomials with identical terms but opposite signs, used in special product formulas.
Term
A single part of an algebraic expression, separated by addition or subtraction, which may include variables and coefficients.
Product
The result of multiplying two or more algebraic expressions or numbers.
Variable
A symbol representing an unknown value in an algebraic expression, often denoted by letters.
Polynomial
An expression consisting of one or more terms, each with variables raised to whole number exponents.