8
QuizMultiple Choice

Adding and Subtracting Rational Expressions — Quiz

Question 8 • Algebra: Concepts and Connections

Which rational expression is undefined when x is equal to 0 ?

Answer
A
the fraction with numerator 6 x squared and denominator 9 x minus 3
B
the fraction with numerator 4 x minus 8 and denominator negative 2 x squared
C
the fraction with numerator 5 x squared minus 4 and denominator 3 x minus 3
D
the fraction with numerator 8 x plus 6 and denominator negative x squared plus 1

Explanation

A rational expression is undefined when its denominator equals 0. For choice B, the denominator is −2x²; substituting x = 0 gives −2(0)² = 0, so the expression is undefined. The other denominators are nonzero at x = 0.

AI-written and checked against the verified answer.

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