prcreva4

# prcreva4 - The L east C ommon M ultiple(LCM is the product...

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A.4 Rational Expressions

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The quotient of two polynomials is called a rational expression. If we form a quotient of two polynomials, the result is called a rational expression. The polynomial in the denominator of a rational expression cannot be equal to 0 because division by 0 is not defined.
Rules for Multiplying and Dividing Rational Expressions

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Perform the indicated operation and simplify

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Rules for Adding and Subtracting Rational Expressions, Denominators Equal
Perform the indicated operation and simplify the result.

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Rules for Adding or Subtracting Two Rational Expressions, Denominators Unequal

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STEP 1: Factor completely the polynomial in the denominator of each rational expression. The LCM Method for Adding or Subtracting Rational Expressions. STEP 2:

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Unformatted text preview: The L east C ommon M ultiple (LCM) is the product of each of these factors raised to a power equal to the greatest number of times that the factor occurs in the polynomials. STEP 3:Write each rational expression using the LCM as the common denominator. STEP 4:Add or subtract the rational expressions. Use LCM to subtract and simplify : STEP 1: STEP 2: Simplifying a Mixed Quotient • Method 1: Treat the numerator and denominator of the mixed quotient separately, performing whatever operations are indicated and simplifying the results. • Method 2: Find the LCM of the denominators of all rational expressions that appear in the mixed quotient. Multiply the numerator and the denominator of the mixed quotient by LCM and simplify....
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## This note was uploaded on 12/17/2010 for the course MATH 131 taught by Professor Staff during the Fall '08 term at UNC.

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prcreva4 - The L east C ommon M ultiple(LCM is the product...

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