Rational Expression:
An expression of the form p(x)/q(x) where p(x) and q(x) are polynomials and q(x) is a non-zero polynomials, is called a rational expression. Here p(x) is called numerator and q(x) is called denominator.
Every polynomial is called a rational expression as.
is not necessarily polynomial.
Lowest term:
p(x)/q(x) is said to be in lowest form if there is no common factor betwee p(x) and q(x) i.e. HCF of
p(x) and q(x) is 1. If p(x)/q(x) is not in lowest terms, it is reduced to its lowest term by cancellling the common factors from numerator and denoninator.
Example 1. Express the following in lowest terms:
Solution:-
| Subjects | Maths (Part-1) by Mr. M. P. Keshari |
| Chapter 1 | Linear Equations in Two Variables |
| Chapter 2 | HCF and LCM |
| Chapter 3 | Rational Expression |
| Chapter 4 | Quadratic Equations |
| Chapter 5 | Arithmetic Progressions |
| Chapter 6 | Instalments |
| Chapter 7 | Income Tax |
| Chapter 8 | Similar Triangles |
