Multiplying Rational Expressions

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What is a rational expression?

Back

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

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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 multiplying rational expressions?

Back

The first step is to factor all numerators and denominators if possible.

Front

What is the rule for multiplying rational expressions?

Back

To multiply rational expressions, multiply the numerators together and the denominators together.

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Front

What does it mean to cancel common factors in rational expressions?

Back

Canceling common factors means removing the same factor from both the numerator and the denominator.

Front

What is the importance of factoring in rational expressions?

Back

Factoring helps to identify and cancel common factors, making simplification easier.

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Front

What is a polynomial?

Back

A polynomial is an expression consisting of variables raised to whole number powers and coefficients.

Front

What is the degree of a polynomial?

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The degree of a polynomial is the highest power of the variable in the expression.