$f(x) = 3x^6+x^4-2x^3-x+1$
Let the roots of $f(x)$ be $\alpha_1,\alpha_2,...,\alpha_6 $
Find the equation whose roots are twice the negative reciprocal of $f(x)$
My question is do I need to find an equation with roots $-\frac{1}{2\alpha_n}$ or $-\frac{2}{\alpha_n}$
I'm thinking I need to find an equation with roots $-\frac{2}{\alpha_n}$