Question on: JAMB Mathematics - 2014
Find the value of k if y - 1 is a factor of y3 + 4y2 + ky - 6
A
-6
B
-4
C
O
D
1
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Correct Option: D
if y - 1 is a factor of y3 + 4y2 + ky - 6, then
f(1) = (1)3 + 4(1)2 + k(1) - 6 = 0 (factor theorem)
1 + 4 + k - 6 = 0
5 - 6 + k = 0
-1 + k = 0
k = 1
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