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Black Book Advanced Problems in MathematicsMathematicsLimits

If x₁, x₂, x₃, , x_n are the roots of x^n + ax + b = 0 , then the value of (x₁ - x₂)(x₁ - x₃)(x₁ - x₄) (x₁ - x_n) is equal to :

Options

  1. Anx₁ + b
  2. Bnx₁^ n-1 + a
  3. Cnx₁^ n-1
  4. Dnx₁^ n-1

Correct answer

B. nx₁^ n-1 + a

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