Which of the following is a possible rational root of the polynomial P(x) = 2x³ - 5x² + x + 6?

A 1/5

B 3/2

C 2/3

D 5/6

✓ Correct Answer: Option B

According to the Rational Root Theorem, possible rational roots p/q have p as a factor of 6 and q as a factor of 2. Factors of 6: ±1, ±2, ±3, ±6. Factors of 2: ±1, ±2. The fraction 3/2 is a possible p/q.

💡 Why is B) the correct answer?

The correct answer to the question "Which of the following is a possible rational root of the polynomial P(x) = 2x³ - 5x² + x + 6?" is Option B: 3/2.

The other options — A) 1/5, C) 2/3, D) 5/6 — are incorrect for this CLEP Exam Prep question. As explained above: According to the Rational Root Theorem, possible rational roots p/q have p as a factor of 6 and q as a factor of 2. Factors of 6: ±1, ±2, ±3, ±6. Factors of 2: ±1, ±2. The fraction 3/2 is a possible …

📚 About This CLEP Exam Prep Practice Question

This 3-level CLEP Exam Prep question from the College Algebra topic is part of BrainForge Quiz's free exam preparation library. Each question includes the correct answer and a detailed explanation to help you understand the underlying concept, not just memorize the answer.

How to use this page: Read the question above, consider all four options (A through D), then check the highlighted correct answer and explanation. For active timed practice, start a free CLEP Exam Prep practice test or use flashcards for spaced repetition review.

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Which of the following is a possible rational root of the polynomial P(x) = 2x³ - 5x² + x + 6?

✓ Correct Answer: Option B

📚 About This CLEP Exam Prep Practice Question

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