Multiplying and Dividing Rational Expressions

Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a rational expression?
Back
A rational expression is a fraction where both the numerator and the denominator are polynomials.
2.
FLASHCARD QUESTION
Front
What does it mean to simplify a rational expression?
Back
Simplifying a rational expression involves reducing it to its lowest terms by factoring and canceling common factors in the numerator and denominator.
Tags
CCSS.HSA.APR.D.6
3.
FLASHCARD QUESTION
Front
What is the process for dividing rational expressions?
Back
To divide rational expressions, multiply the first expression by the reciprocal of the second expression.
Tags
CCSS.HSA.APR.D.6
4.
FLASHCARD QUESTION
Front
What is the reciprocal of a rational expression?
Back
The reciprocal of a rational expression is obtained by flipping the numerator and denominator.
Tags
CCSS.HSA.APR.D.6
5.
FLASHCARD QUESTION
Front
What is the importance of checking for zero in the denominator?
Back
A denominator cannot be zero, as it would make the expression undefined. Always check for values that make the denominator zero before simplifying.
Tags
CCSS.HSA.APR.D.7
6.
FLASHCARD QUESTION
Front
How do you multiply two rational expressions?
Back
To multiply two rational expressions, multiply the numerators together and the denominators together, then simplify if possible.
Tags
CCSS.HSA.APR.D.7
7.
FLASHCARD QUESTION
Front
What does it mean to factor a polynomial?
Back
Factoring a polynomial means expressing it as a product of its factors, which can help in simplifying rational expressions.
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