Với x thuộc tập hợp nào dưới đây thì đa thức \(f(x) = x^2 – 6x + 8\) không dương?
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Để f(x) không dương thì x2 – 6x + 8 ≤ 0
Xét biểu thức f(x) = x2 – 6x + 8 có ∆ = 4 > 0, hai nghiệm phân biệt là x = 2; x = 4 và a = 1 > 0.
Ta có bảng xét dấu sau
Từ bảng xét dấu f(x) ta thấy để f(x) ≤ 0 thì x ∈ [2; 4]
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