Simplify, Multiply & Divide Rational Expressions

Front

What is a rational expression?

Back

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

Tags

CCSS.HSA.APR.D.7

Front

How do you simplify a rational expression?

Back

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

Tags

CCSS.HSA.APR.D.6

Front

What is the process for multiplying rational expressions?

Back

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

Tags

CCSS.HSA.APR.D.7

Front

What is the process for dividing rational expressions?

Back

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

Tags

CCSS.HSA.APR.D.6

Front

What does it mean to factor a polynomial?

Back

Factoring a polynomial means expressing it as a product of its factors, which can be simpler polynomials.

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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 one has a degree of the numerator greater than or equal to the degree of the denominator.

Tags

CCSS.HSA.APR.D.6

Front

How do you find the least common denominator (LCD) of rational expressions?

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The LCD is found by determining the least common multiple of the denominators of the rational expressions.

Tags

CCSS.HSA.APR.D.7

Front

What is the significance of excluding values in rational expressions?

Back

Excluding values is important because they make the denominator zero, which is undefined in mathematics.

Tags

CCSS.HSA.APR.D.7

Front

Back

Tags

CCSS.HSA.APR.D.6

Front

Back

Tags

CCSS.HSA.APR.D.6