2025 · Q81
"If x² - 5x + 4 is a factor of x⁴ - px² + q, then what are the values of p and q respectively?"
Elementary MathematicsAlgebra
- A17, 16
- B16, 17
- C15, 16
- D16, 15
Explanation
f(1) = 1 − p + q = 0 and f(4) = 256 − 16p + q = 0; subtracting gives 255 = 15p, so p = 17 and q = 16, option (a).