Rational Expressions Practice

Front

Define a rational expression.

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

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What is the process to simplify a rational expression?

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

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What does it mean to multiply rational expressions?

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Multiplying rational expressions involves multiplying the numerators together and the denominators together, then simplifying if possible.

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How do you divide rational expressions?

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To divide rational expressions, multiply by the reciprocal of the divisor and then simplify.

Front

What is the importance of factoring in rational expressions?

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Factoring is crucial in rational expressions as it allows for simplification by canceling common factors.

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables, coefficients, and non-negative integer exponents.

Front

Provide an example of a rational expression.

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The first step is to factor the numerator and denominator where possible.

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This expression is already in its simplest form unless further context is provided.