Simplifying Rational Expressions

Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
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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
To simplify a rational expression means to reduce it to its simplest form, where the numerator and denominator have no common factors other than 1.
3.
FLASHCARD QUESTION
Front
What is the first step in simplifying a rational expression?
Back
The first step is to factor both the numerator and the denominator completely.
4.
FLASHCARD QUESTION
Front
How do you identify common factors in a rational expression?
Back
Common factors can be identified by factoring both the numerator and denominator and looking for identical factors.
5.
FLASHCARD QUESTION
Front
What is the result of simplifying (x^2 - 9)/(x + 3)?
Back
The result is (x - 3) after factoring the numerator as (x + 3)(x - 3) and canceling the common factor.
6.
FLASHCARD QUESTION
Front
What is the importance of checking for restrictions in rational expressions?
Back
Restrictions are important because they indicate values that would make the denominator zero, which are not allowed in rational expressions.
7.
FLASHCARD QUESTION
Front
What is the simplified form of (x^2 - 4)/(x + 2)?
Back
The simplified form is (x - 2) after factoring the numerator as (x + 2)(x - 2) and canceling the common factor.
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