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Improper Rational Expression

Improper Rational Expression

A rational expression in which the degree of the numerator polynomial is greater than or equal to the degree of the denominator polynomial.

Note: Polynomial long division can be used to write an improper rational expression as the sum of a polynomial and a proper rational expression. Synthetic division may also be used for some fractions.

 

Two examples of improper rational expressions: (x²−3x+1)/(5x²+2x−8) and 3x²/(5x−4).

 

See also

Improper fraction