I would appreciate if somebody could help me with the following problem.I am not good at quartic equations,so could not attempt much.
Q:The number of integral values of $p$ for which the equation $x^4+4x^3-8x^2+p=0$ has all 4 real roots.
Let $\alpha,\beta,\gamma,\delta $ are four real roots.
According to Vieta's formula
then i got stuck..what to do?
Thanks in advance.