WAEC - Further Mathematics (2024 - No. 6)
If h(x) = x\(^2\) + px + 2 is divided by (x + 3), the remainder is 5, find p
4
3
2
1
Explanation
x\(^2\) + px + 2 is divided by (x + 3), R = 5
From remainder's theorem, (x + 3) implies x = -3
Put x = -3 into x\(^2\) + px + 2 = (-3)\(^2\) + p(-3) + 2 = 5
9 - 3p + 2 = 5
11 - 3p = 5
-3p = 5 - 11 = -6
p = \(\frac{-6}{-3}\) = 2
Thus, p = 2.
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