Simplifying Rational Expressions (Spicy)

Front

What is a rational expression?

Back

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

Front

How do you simplify a rational expression?

Back

To simplify a rational expression, factor both the numerator and the denominator and then cancel any common factors.

Front

What is the first step in dividing rational expressions?

Back

The first step is to multiply by the reciprocal of the divisor.

Front

What does it mean to subtract rational expressions?

Back

Subtracting rational expressions involves finding a common denominator and then subtracting the numerators.

Front

What is a common denominator?

Back

A common denominator is a shared multiple of the denominators of two or more fractions.

Front

How do you find the least common denominator (LCD)?

Back

To find the LCD, identify the least common multiple of the denominators.

Front

What is the process for adding rational expressions?

Back

To add rational expressions, find a common denominator, rewrite each expression with that denominator, and then add the numerators.

Front

What is the significance of factoring in simplifying rational expressions?

Back

Factoring allows you to identify and cancel common factors in the numerator and denominator.

Front

Back

Front

What is the difference between a polynomial and a rational expression?

Back

A polynomial is an expression made up of variables and coefficients, while a rational expression is a ratio of two polynomials.