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?
Answer
The correct answer is A: -7. From the previous question, 3p + q = -10 and p = -1. Substituting: 3(-1) + q = -10, so q = -10 + 3 = -7.
- A.-7✓ Correct
- B.-5
- C.-3
- D.-1
From the previous question, 3p + q = -10 and p = -1. Substituting: 3(-1) + q = -10, so q = -10 + 3 = -7.
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