If the polynomial p(x) = x³ - 6x² + 11x - 6 has a factor (x-1), what are the other factors?

A (x-2)(x-3)

B (x-1)(x-6)

C (x+2)(x-3)

D (x-2)(x+3)

✓ Correct Answer: Option A

Dividing by (x-1): x²-5x+6 = (x-2)(x-3).

💡 Why is A) the correct answer?

The correct answer to the question "If the polynomial p(x) = x³ - 6x² + 11x - 6 has a factor (x-1), what are the other factors?" is Option A: (x-2)(x-3).

The other options — B) (x-1)(x-6), C) (x+2)(x-3), D) (x-2)(x+3) — are incorrect for this Mathematics question. As explained above: Dividing by (x-1): x²-5x+6 = (x-2)(x-3).

📚 About This Mathematics Practice Question

This 2-level Mathematics question from the Algebra topic is part of One Paper Preparation'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 Mathematics practice test or use flashcards for spaced repetition review.

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If the polynomial p(x) = x³ - 6x² + 11x - 6 has a factor (x-1), what are the other factors?

✓ Correct Answer: Option A

📚 About This Mathematics Practice Question

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