Rational Expression Review

Front

What is a rational expression?

Back

A rational expression is a fraction where both the numerator and the denominator are polynomials.

Front

How do you simplify a rational expression?

Back

To simplify a rational expression, factor the numerator and denominator and eliminate any common factors.

Front

What is the Least Common Denominator (LCD)?

Back

The Least Common Denominator (LCD) is the smallest expression that can be used as a common denominator for two or more fractions.

Front

What is the first step in adding or subtracting rational expressions?

Back

Determine a Least Common Denominator (LCD).

Front

What does it mean to multiply rational expressions?

Back

To multiply rational expressions, you multiply the numerators together and the denominators together, then simplify if possible.

Front

What is the process of dividing rational expressions?

Back

To divide rational expressions, multiply by the reciprocal of the second expression.

Front

What is a polynomial?

Back

A polynomial is an algebraic expression that consists of variables, coefficients, and non-negative integer exponents.

Front

What is factoring in the context of rational expressions?

Back

Factoring involves rewriting a polynomial as a product of its factors to simplify expressions.

Front

What is a common factor?

Back

A common factor is a number or expression that divides two or more numbers or expressions without leaving a remainder.

Front

How do you find the LCD of 5/(x+8) and 2x/(x-3)?

Back

The LCD is (x+8)(x-3).