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Least Common Denominators definitions

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  • Least Common Denominator

    Smallest expression that all denominators can divide into, formed by multiplying unique prime factors at their highest powers.
  • Rational Expression

    Fraction with polynomials in numerator and denominator, often requiring common denominators for addition or subtraction.
  • Prime Factor

    Basic building block of a number or variable, used to break down denominators for finding common denominators.
  • Exponent

    Indicates how many times a factor is used, crucial for selecting highest powers when forming the least common denominator.
  • Coefficient

    Numerical part of a term, important when factoring denominators and identifying missing factors.
  • Variable

    Symbol representing an unknown value, often included in denominators and considered when finding common denominators.
  • Quadratic Polynomial

    Expression with a squared variable term, often requiring factoring to identify unique prime factors.
  • Common Denominator

    Shared denominator between fractions or expressions, necessary for addition or subtraction.
  • Missing Factor

    Element absent from a denominator but present in the least common denominator, used to rewrite equivalent expressions.
  • Equivalent Expression

    Form of a rational expression with a common denominator, achieved by multiplying by missing factors.
  • Factoring

    Process of breaking down numbers or polynomials into their basic components for easier comparison.
  • Unique Prime Factor

    Distinct factor present in at least one denominator, included once at its highest power when forming the least common denominator.
  • Rational Number

    Number expressed as a fraction, used as a model for understanding rational expressions.
  • Term

    Individual part of an expression, consisting of a coefficient, variable, and possibly an exponent.
  • Denominator

    Bottom part of a fraction or rational expression, often factored to find common denominators.