What is a rational expression?
4-3 Simplify Rational Expressions

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•
Mathematics
•
10th - 11th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A rational expression is a fraction where the numerator and the denominator are both polynomials.
2.
FLASHCARD QUESTION
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.
3.
FLASHCARD QUESTION
Front
What does it mean for a rational expression to be undefined?
Back
A rational expression is undefined when its denominator equals zero.
4.
FLASHCARD QUESTION
Front
What are the domain restrictions for the expression (x-4)/(x+3)?
Back
x ≠ -3 (the denominator cannot be zero).
5.
FLASHCARD QUESTION
Front
How do you find the values that make a rational expression undefined?
Back
Set the denominator equal to zero and solve for x.
6.
FLASHCARD QUESTION
Front
Simplify the expression: (x^2 - 9)/(x + 3)
Back
x - 3 (after factoring the numerator as (x-3)(x+3) and canceling the common factor).
7.
FLASHCARD QUESTION
Front
What is the domain of the expression (x^2 - 1)/(x^2 - 4)?
Back
x ≠ 2 and x ≠ -2 (the values that make the denominator zero).
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