If ( 1- 2x)\(^4\) = 1 + px + qx\(^2\) - 32x\(^3\) + 16\(^4\), find
FURTHER MATHEMATICS
WAEC 2021
If ( 1- 2x)\(^4\) = 1 + px + qx\(^2\) - 32x\(^3\) + 16\(^4\), find the value of (q - p)
- A. -32
- B. -16
- C. 16
- D. 32
Correct Answer: D. 32
Explanation
( 1- 2x)\(^4\) = 1 + px + qx\(^2\) - 32x\(^3\) + 16\(^4\)
compared with: 1 - 8x + 24x\(^2\) - 32x\(^3\) + 16\(^4\)
q = 24 and p = -8
(q - p) = 24 - [-8] = 32
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