Which of the following is NOT a possible rational root of the polynomial P(x) = 2x^3 - 5x^2 + x - 6?

A 3/2

B -1

C 4

D -1/2

✓ Correct Answer: Option C

Possible rational roots (p/q) have p dividing the constant term (-6) and q dividing the leading coefficient (2). Factors of -6 are ±1, ±2, ±3, ±6. Factors of 2 are ±1, ±2. The number 4 is not a factor of 6, so 4/1 is not a possible rational root.

💡 Why is C) the correct answer?

The correct answer to the question "Which of the following is NOT a possible rational root of the polynomial P(x) = 2x^3 - 5x^2 + x - 6?" is Option C: 4.

The other options — A) 3/2, B) -1, D) -1/2 — are incorrect for this CLEP Exam Prep question. As explained above: Possible rational roots (p/q) have p dividing the constant term (-6) and q dividing the leading coefficient (2). Factors of -6 are ±1, ±2, ±3, ±6. Factors of 2 are ±1, ±2. The number 4 is not a facto…

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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 NOT a possible rational root of the polynomial P(x) = 2x^3 - 5x^2 + x - 6?

✓ Correct Answer: Option C

📚 About This CLEP Exam Prep Practice Question

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