WAEC - Further Mathematics (2021 - No. 23)

If ( 1- 2x)\(^4\) = 1 + px + qx\(^2\) - 32x\(^3\) + 16\(^4\), find the value of (q - p)
-32
-16
16
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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