For parts (a)-(d), let p, q, r, and s be the roots of g(x) = 3x^4 - 8x^3 + 5x^2 + 2x - 17 - 2x^4 + 10x^3 + 11x^2 + 18x - 14.
Compute pqr + pqs + prs + qrs.
In this formula,
a
𝑎
and
b
𝑏
are coefficients, and
c
𝑐
is a constant. If the discriminant (
D=b2−4ac
𝐷=𝑏2−4𝑎𝑐
) is greater than zero, then the equation has two real and distinct roots.