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CDS 2026 · PYQ · Polynomials / Divisibility · medium

For the next two (02) items that follow: x⁴ + px³ + qx² + x + 6 is divisible by x² - x - 6. What is the value of q?

  1. A.-7✓ Correct
  2. B.-5
  3. C.-3
  4. D.-1

Explanation

From the previous question, 3p + q = -10 and p = -1. Substituting: 3(-1) + q = -10, so q = -10 + 3 = -7.
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