Question

List the potential rational zeros of the following function. Please explain. f(x)=2x^4-6x^2+2x-1

Answer 1

the rational zero will be in the form of p/q, with p being a factor of the constant (0 degree term) and q being a factor of the coefficient of term with highest degree
\[\frac{\pm 1}{\pm 1,2}\]

Answer 2

1/2, - 1/2, -1/1, -1/-1 givng rational root candidates of 1/2, -1/2, -1. and 1.

No rational root is guaranteed but if there is one, it is among these candidates.