Unit 10 Day 1 Operations with Rational Expressions

Front

Define a rational expression.

Back

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

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What is the process of simplifying a rational expression?

Back

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

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Front

What is the difference between a proper and improper rational expression?

Back

A proper rational expression has a degree of the numerator less than the degree of the denominator, while an improper rational expression has a degree of the numerator greater than or equal to the degree of the denominator.

Front

What is the importance of factoring in simplifying rational expressions?

Back

Factoring allows us to identify and cancel common factors in the numerator and denominator, simplifying the expression.

Front

Define the term 'common factor' in the context of rational expressions.

Back

A common factor is a factor that appears in both the numerator and the denominator of a rational expression.

Front

What is the first step in simplifying a rational expression?

Back

The first step is to factor both the numerator and the denominator completely.