I have a question about polynomial.
Given a polynomial:
Given too that the roots of this polynomial are $a, b, c,$ and $d$.
Find the value of $(a+b+c)(a+b+d)(a+c+d)(b+c+d)$?
It seems I need to apply Vieta formula to find the relationship between its roots. From there, I can get:
$$a+b+c+d = 7$$
From there, I don't have any idea how to go further.
Can somebody help me to explain to solve this equation?