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GRE数学考点精编二:Algebraic Fraction和Monomials

2012-12-27 
Algebraic Fraction和Monomials

  Algebraic Fraction

  An algebraic fraction is division of one polynomial by another. An algebraic fraction can be simplified by canceling the common factors between the numerator and denominator.

  Example:

  (x2-a2)/(x-a)=(x+a)*(x-a)/(x-a)=(x+a).

  (x2-3x+2)/(x-1)=(x-2)(x-1)/(x-1)=(x-2).

  Factor out both the numerator and denomin

  Monomials

  An expression with only one term is called monomial.

  Example:

  3x,2x2,and 4xy are all monomials.

  2x+1,x+y,3(x+1),and x+x2 are not monomials.

  Remember:

  There is no addition or subtraction in monomials.

  Mono means one, as in monologue

  ator to find the common factors.

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