4.2 Rational Expressions Operations

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What is a rational expression?

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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?

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

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What is the first step in adding rational expressions?

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The first step is to find a common denominator for the expressions being added.

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How do you multiply rational expressions?

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

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What does it mean to 'cancel' in rational expressions?

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'Canceling' means removing common factors from the numerator and denominator.

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What is the process for dividing rational expressions?

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

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What is a polynomial?

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