Find the roots of the polynomial equation.

x^(3)-2x^(2)+10x+136=0

To find the roots of the polynomial equation x^3 - 2x^2 + 10x + 136 = 0, we can use various methods such as factoring, synthetic division, or polynomial root-finding algorithms.

Unfortunately, this equation does not appear to have any rational roots. Using numerical methods or a calculator, we can estimate the roots to be approximately x ≈ -5.274, x ≈ 3.837, and x ≈ 10.437.