If \(a, b, c, d,\) and \(x\) are all nonzero integers, is the product \(ax\cdot (bx)^2\cdot (cx)^3\cdot (dx)^4\) negativ

[M7MBA]

If \(a, b, c, d,\) and \(x\) are all nonzero integers, is the product \(ax\cdot (bx)^2\cdot (cx)^3\cdot (dx)^4\) negative?

(1) \(a < c < x < 0\)

(2) \(b < d < x < 0\)

Answer: A

Source: Princeton Review