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If x = –1 and x = 2 are extreme points of f(x) = α log |x| + β x 2 + x then :

1. α = 2, β = 2 1
2. α = –6, β = 2 1
3. α = –6, β = – 2 1
4. α = 2, β = – 2 1

Correct answer: α = 2, β = – 2 1

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