calculus
posted by Caylan .
use the rational zeros theorem to find all the real zeros of the polynomial. Use the zeros to factor f over the real numbers.
f(x)=2x^3x^2+2x1

One root is x = 1/2, so one factor is x  1/2
Divide f(x) by x  1/2 to yield a quadratic equation
2x^2 + x +2 = 0
that will provide the other two roots.