According to the Remainder Theorem, what is the remainder when the polynomial P(x) = 3x^3 - 2x^2 + 5x - 8 is divided by (x - 1)?

A -2

B 0

C 3

D 4

✓ Correct Answer: Option A

By the Remainder Theorem, the remainder is P(1). P(1) = 3(1)^3 - 2(1)^2 + 5(1) - 8 = 3 - 2 + 5 - 8 = -2.

💡 Why is A) the correct answer?

The correct answer to the question "According to the Remainder Theorem, what is the remainder when the polynomial P(x) = 3x^3 - 2x^2 + 5x - 8 is divided by (x - 1)?" is Option A: -2.

The other options — B) 0, C) 3, D) 4 — are incorrect for this CLEP Exam Prep question. As explained above: By the Remainder Theorem, the remainder is P(1). P(1) = 3(1)^3 - 2(1)^2 + 5(1) - 8 = 3 - 2 + 5 - 8 = -2.

📚 About This CLEP Exam Prep Practice Question

This 2-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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According to the Remainder Theorem, what is the remainder when the polynomial P(x) = 3x^3 - 2x^2 + 5x - 8 is divided by (x - 1)?

✓ Correct Answer: Option A

📚 About This CLEP Exam Prep Practice Question

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