What is the LCD of $$\frac{x-3}{x^2-2x-3} - \frac{5}{x^2-9}$$ ?

The LCD is $$(x-3)(x+1)(x+3)$$ .

What happens if you include an excluded value in the domain of a rational expression?

The expression becomes undefined.

What is the process for adding rational expressions?

Find the LCD, rewrite each expression with the LCD, and then combine the numerators.

What is the significance of simplifying rational expressions?

It makes calculations easier and reveals any common factors.

What is a polynomial?

An expression consisting of variables raised to non-negative integer powers and coefficients.

What is the difference between a proper and improper rational expression?

A proper rational expression has a degree of the numerator less than the degree of the denominator.

How do you subtract rational expressions?

Find the LCD, rewrite each expression, and subtract the numerators.

What is the first step in adding or subtracting rational expressions?

Identify the least common denominator (LCD).

What is the formula for the sum of two fractions?

$$\frac{a}{b} + \frac{c}{d} = \frac{ad + bc}{bd}$$ .

4.3 Adding and Subtracting Rational Expressions Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

Back

x ≠ 4

2.

FLASHCARD QUESTION

Front

What is an excluded value?

Back

A value that makes the denominator equal to 0.

3.

FLASHCARD QUESTION

Front

Back

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

What is the definition of a rational expression?

Back

A fraction where the numerator and denominator are polynomials.

7.

FLASHCARD QUESTION

Front

How do you find the LCD of two rational expressions?

Back

Factor the denominators and take the highest power of each factor.

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