Add, subtract, multiply, divide and cancel rational expressions step-by-step
Frequently Asked Questions (FAQ)
What is a rational expression in math?
A rational expression is an expression that is the ratio of two polynomial expressions.
How do you identify rational expressions?
To identify a rational expression, factor the numerator and denominator into their prime factors and cancel out any common factors that you find. If you are left with a fraction with polynomial expressions in the numerator and denominator, then the original expression is a rational expression. If not, then it is not a rational expression.
Why is it called a rational expression?
A rational expression is called a 'rational' expression because it can be written as a fraction, with the polynomial expression in the numerator and the polynomial expression in the denominator. The term 'rational' refers to the fact that the expression can be written as a ratio of two expressions (The term 'rational' comes from the Latin word 'ratio').
What are the 4 types of rational numbers?
There are four types of rational numbers: positive rational numbers (greater than zero), negative rational numbers (less than zero),non-negative rational numbers (greater than or equal to zero), and non-positive rational numbers (less than or equal to zero).
How do you solve rational expressions step by step?
To solve a rational expression start by simplifying the expression by finding a common factor in the numerator and denominator and canceling it out. Then, check for extraneous solutions, which are values of the variable that makes the denominator equal to zero. These solutions must be excluded because they are not valid solutions to the equation. Solve the resulting equation for the variable by using techniques such as factoring, using the quadratic formula, or completing the square.