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Simplifying Rational Expressions

Simplifying Rational Expressions

www.mcckc.edu

Rational Expressions A quotient of two integers, , where , is called a rational expression . Some examples of rational expressions are , and . When , the denominator of the expression becomes 0 and the expression is meaningless. Mathematicians state this fact by saying that the expression is undefined when .

  Rational, Of rational

ASYMPTOTES OF RATIONAL FUNCTIONS

ASYMPTOTES OF RATIONAL FUNCTIONS

www.austincc.edu

ASYMPTOTES OF RATIONAL FUNCTIONS ( ) ( ) ( ) D x N x y f x where N(x) and D(x) are polynomials _____ By Joanna Gutt-Lehr, Pinnacle Learning Lab, last updated 1/2010 HORIZONTAL ASYMPTOTES, y = b A horizontal asymptote is a horizontal line that is not part of a graph of a function but guides it for x-values ...

  Rational, Of rational

De nition and Examples of Rings

De nition and Examples of Rings

math.okstate.edu

However, the ring Q of rational numbers does have this property. Definition 14.7. A division ring is a ring R with identity 1 R 6= 0 R such that for each a 6= 0 R in R the equations a x = 1 R and x a = 1 R have solutions in R. Note that we do not require a division ring to be commutative. Definition 14.8. A eld is a division ring with ...

  Ring, Rational, Of rational

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