4
QuizMultiple Choice

Simplifying Rational Expressions by Factoring

Question 4 • (OC27) MATH COLL ALGEBRA-1200710-S1-Degele-VOL7006P

Which statement best describes the excluded values of a rational expression?

Answer
A
The number of excluded values of a rational expression cannot exceed the degree of the numerator.
B
The number of excluded values of a rational expression cannot exceed the degree of the denominator.
C
The number of excluded values of a rational expression cannot exceed the sum of the degrees of the numerator and denominator.
D
The number of excluded values of a rational expression cannot exceed the difference in the degrees of the numerator and denominator.

Explanation

Excluded values are the values that make the denominator equal to zero, since division by zero is undefined. A polynomial denominator can have no more zeros than its degree, so the number of excluded values cannot exceed the denominator’s degree. Thus, the best description is “cannot exceed the degree of the denominator.”

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