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A polynomial is defined by (f(x + 1) = x^{3} + px^{2} – 4x +…

A polynomial is defined by (f(x + 1) = x^{3} + px^{2} – 4x + 2), find f(2).

  • A.
    -8
  • B.
    -2
  • C.
    2
  • D.
    8
Correct Answer: Option C
Explanation

Given: (f(x + 1) = x^{3} + 3x^{2} – 4x + 2). 

(f(2) = f(x + 1) implies x + 1 = 2; x = 1)

(f(2) = 1^{3} + 3(1)^{2} – 4(1) + 2 = 1 + 3 – 4 + 2 = 2)