Find the remainder when \(5x^{3} + 2x^{2} - 7x - 5\) is divided by (x - 2).

  • A -51
  • B -23
  • C 29
  • D 49

The correct answer is C. 29

Using remainder theorem, the remainder when \(5x^{3} + 2x^{2} - 7x -5\) is divided by (x - 2) = f(2)

\(f(2) = 5(2^{3}) + 2(2^{2}) - 7(2) -5 = 40 + 8 - 14 - 5\)

= 29

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