5
QuizMultiple Choice

Multiplying and Dividing Rational Expressions — Quiz

Question 5 • Mathematics III

What is the product? the fraction with numerator 2 A minus 7 and denominator A times the fraction with numerator 3 A squared and denominator 2 A squared minus 11 A plus 14

Answer
A
the fraction with numerator 3 and denominator A plus 2
B
the fraction with numerator 3 and denominator A minus 2
C
the fraction with numerator 3 A and denominator A minus 2
D
the fraction with numerator 3 A and denominator A plus 2

Explanation

Factor the quadratic denominator: 2a² − 11a + 14 = (2a − 7)(a − 2). Then multiply the fractions and cancel the common factors 2a − 7 and a, leaving 3a/(a − 2). The product is choice C, 3a divided by a − 2.

AI-written and checked against the verified answer.

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