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Least Common Denominators definitions
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Least Common Denominator
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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.
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Terms in this set (15)
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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.