The expression 2x^3 + x^2 - 2x - 1 = 0 is divisible by

Quant Quadratic

The expression 2x3 + x2 - 2x - 1 = 0 is divisible by

  1. 2x - 1
  2. 2x + 1
  3. x + 2
  4. x - 2

Answer

2x3 + x2 - 2x - 1 = x2(2x + 1) - (2x + 1) = (x2 - 1)(2x + 1)

So, given expression is divisible by (2x + 1)

The correct option is B.