14
QuizMultiple Choice

Unit 5 TEST: Rational Functions

Question 14 • (OC27) MATH COLL ALGEBRA-1200710-S1-Degele-VOL7006P

Does the expression simplify to x?

Question illustration
Answer
A
No, because x3 – 1 can be factored as x(x2 – x + 1) and x2 – 1 can be factored as x(x – 1), so only x can be canceled.
B
Yes, because x3(x – 1) can be factored as x2(x – 1) and x2 – 1 can be factored as x(x – 1), so (x – 1) can be canceled.
C
No, because the –1 in the numerator and denominator is not a common factor and cannot be canceled.
D
Yes, because –1 in the numerator and denominator is a common factor and can be canceled.
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