8.5 Rational Expressions and LCM

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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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What does LCM stand for?

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LCM stands for Least Common Multiple, which is the smallest multiple that is exactly divisible by two or more numbers.

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How do you add rational expressions with the same denominator?

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When adding rational expressions with the same denominator, you add the numerators and keep the denominator the same.

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What is the formula for finding the LCM of two numbers?

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The LCM of two numbers a and b can be found using the formula: LCM(a, b) = (a * b) / GCD(a, b), where GCD is the greatest common divisor.

Front

What is the lowest common denominator (LCD)?

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The lowest common denominator (LCD) is the least common multiple of the denominators of two or more fractions.

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How do you subtract rational expressions with the same denominator?

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When subtracting rational expressions with the same denominator, you subtract the numerators and keep the denominator the same.

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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 divisor.

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What is the LCM of 5, 10, and 20x?

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The LCM of 5, 10, and 20x is 20x.

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How do you find the LCM of polynomials?

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To find the LCM of polynomials, factor each polynomial and take the highest power of each factor.

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