1. What is a Rational Number?

A rational number is any number that can be expressed as the quotient or fraction p/q of two integers, where q is not zero. Similarly, a rational expression is the ratio of two polynomial expressions.

2. How Does the Calculator Work?

The calculator simplifies rational expressions by:

Steps:

1. Factor both numerator and denominator completely
2. Identify common factors in numerator and denominator
3. Cancel out common factors
4. Write the simplified form

3. Importance of Simplifying Rational Expressions

Details: Simplifying rational expressions makes them easier to work with in equations, helps identify restrictions (values that make the denominator zero), and reveals the expression's behavior.

4. Using the Calculator

Tips: Enter polynomial expressions for numerator and denominator. Use standard algebraic notation (e.g., x^2 for x squared, 2x+3 for linear expressions).

5. Frequently Asked Questions (FAQ)

Q1: What if my denominator is zero?
A: The expression is undefined when the denominator equals zero. The calculator will identify these restrictions.

Q2: Can this calculator handle complex polynomials?
A: Yes, it can factor and simplify polynomials of various degrees, including quadratics and cubics.

Q3: How does it handle special factoring cases?
A: The calculator recognizes difference of squares, perfect square trinomials, sum/difference of cubes, and other special forms.

Q4: What format should I use for exponents?
A: Use the caret symbol (^), like x^2 for x squared or (x+1)^3 for (x+1) cubed.

Q5: Can it simplify rational expressions with multiple variables?
A: Yes, the calculator can handle expressions with multiple variables like x, y, z, etc.