Rational Expressions -add, subtract, multiply, divide & simplify

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What is 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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How do you add rational expressions with the same denominator?

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How do you subtract rational expressions with the same denominator?

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What is the process for adding rational expressions with different denominators?

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To add rational expressions with different denominators, find a common denominator, rewrite each fraction, and then combine the numerators.

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How do you multiply rational expressions?

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Front

What is the method for dividing rational expressions?

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Front

What does it mean to simplify a rational expression?

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Simplifying a rational expression means reducing it to its lowest terms by canceling common factors in the numerator and denominator.

Front

How do you factor a polynomial?

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To factor a polynomial, find two numbers that multiply to the constant term and add to the coefficient of the linear term, then rewrite the polynomial as a product of binomials.

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

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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 least common denominator (LCD)?

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The least common denominator is the smallest multiple that is common to the denominators of two or more fractions.