2026 · Q82
For the next two (02) items that follow:
x⁴ + px³ + qx² + x + 6 is divisible by x² − x − 6.
82. What is the value of q?
Elementary MathematicsAlgebra
- A−7
- B−5
- C−3
- D−1
Explanation
From the previous item, q=2p−5 with p=−1, giving q=−7, option A. Substituting p=−1 into f(−2)=0 independently confirms q=−7. The other options correspond to arithmetic slips in evaluating f(3) or f(−2).