rational expression
a quotient of two polynomials; an expression of the form Px/Q(x) where P(x) and Q(x) are polynomials and Q(x)≠0
A rational expression is an algebraic expression in which the numerator and/or denominator is a polynomial. It can be expressed in the form P(x)/Q(x), where P(x) and Q(x) represent polynomials with the variable x.
Rational expressions can take different forms, including proper, improper, and mixed. In a proper rational expression, the degree of the numerator is less than the degree of the denominator. An improper rational expression, on the other hand, has a numerator with a degree greater than or equal to the degree of the denominator. A mixed rational expression is a combination of a whole number and a proper rational expression.
Rational expressions are often used in algebraic equations to simplify expressions, solve equations, and model real-world problems. It is important to note that before performing any algebraic operations with rational expressions, the expression needs to be simplified by factoring and canceling out common factors in the numerator and denominator.
More Answers:
How To Write A Quadratic Function In Factored Form With Given ZerosHow To Solve Rational Equations With Polynomials: Step-By-Step Guide
Rationality In Mathematics: Exploring The Significance Of Rational Numbers In Logical Decision-Making And Critical Thinking.