use the rational zeros theorem to find all the real zeros of the polynomial. Use the zeros to factor f over the real numbers.

Question

f(x)=2x^3-x^2+2x-1

Answer 1

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.