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

Quant Quadratic
The expression 2x^{3} + x^{2} - 2x - 1 = 0 is divisible by

- 2x - 1
- 2x + 1
- x + 2
- x - 2

### Answer

2x^{3} + x^{2} - 2x - 1 = x^{2}(2x + 1) - (2x + 1) = (x^{2} - 1)(2x + 1)

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

**The correct option is B.**