which of the following is another term for rational algebraic expression? a. Algebraic fraction b. Algebraic friction c. Algebraic function d. Algebraic fiction
In algebra, an algebraic fraction is a fraction whose numerator and denominator are algebraicexpressions. Two examples of algebraic fractions are [tex]{\frac {3x}{x^{2}+2x-3}}[/tex] and [tex]{\frac {\sqrt {x+2}}{x^{2}-3}}[/tex]. Algebraic fractions are subject to the same laws as arithmetic fractions.
A rational fraction is an algebraic fraction whose numerator and denominator are both polynomials. Thus [tex]{\displaystyle {\frac {3x}{x^{2}+2x-3}}}[/tex] is a rational fraction, but not [tex]{\displaystyle {\frac {\sqrt {x+2}}{x^{2}-3}}[/tex], because the numerator contains a square root function.
