find the value of a if x³+ax+2a-2 is exactly divisible by x+1
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Answer:
X + 1 = 0
X = -1
P(X) = X³+AX²+A - 2
P(-1) = (-1)³ + A × (-1)² + A - 2
=> -1 + A × 1 + A - 2
=> A + A - 3 = 0
=> 2A = 3
=> A = 3/2
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