BackLeast Common Denominators definitions
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1/15BackSkip to main contentBackLeast Common Denominator
Smallest expression that all denominators divide into, found by multiplying unique prime factors at their highest powers. Rational Expression
Fraction where both numerator and denominator are polynomials, often requiring common denominators for operations. Prime Factor
Number or variable that cannot be factored further, used to break down denominators for finding the LCD. Unique Prime Factor
Distinct prime number or variable present in any denominator, each included once at its highest power in the LCD. Exponent
Indicates how many times a factor is used in multiplication, crucial for selecting highest powers in the LCD. Quadratic Polynomial
Polynomial of degree two, often factored into two binomials when finding denominators’ factors. Coefficient
Numerical factor in a term, important when factoring polynomials to find denominators’ components. Equivalent Expression
Expression rewritten to have a common denominator, allowing for addition or subtraction of rational expressions. Missing Factor
Component absent from a denominator but present in the LCD, used to adjust fractions to a common denominator. Common Denominator
Shared denominator between two or more rational expressions, enabling direct addition or subtraction. Factoring
Process of breaking down numbers or polynomials into products of simpler elements, essential for finding the LCD. Binomial
Polynomial with two terms, often appears as a factor when breaking down quadratic denominators. Rational Number
Number expressed as a fraction of two integers, foundational for understanding rational expressions. Term
Single part of an expression, such as a number, variable, or product, important in identifying factors. Variable
Symbol representing an unknown value, included as a factor when determining the LCD for rational expressions.
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