Warm Up: Rational Expressions (Simplify, Multiply, Divide)

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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 first step in simplifying a rational expression?

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Factor both the numerator and the denominator completely.

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What is the difference between multiplying and dividing rational expressions?

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Multiplying involves multiplying the numerators and denominators directly, while dividing involves multiplying by the reciprocal of the divisor.

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What does it mean to fully simplify a rational expression?

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To fully simplify means to reduce the expression to its lowest terms, removing any common factors.

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What is a common factor in the context of rational expressions?

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A common factor is a number or variable that divides both the numerator and the denominator without leaving a remainder.

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