23

Part of 2009 National Olympiad First Round

Problems(1)

Min [x(x + 4)(x + 8)(x + 12)]

Source: 0

The minimum value of x(x \plus{} 4)(x \plus{} 8)(x \plus{} 12) in real numbers is ?
(A)\ \minus{} 240 \qquad(B)\ \minus{} 252 \qquad(C)\ \minus{} 256 \qquad(D)\ \minus{} 260 \qquad(E)\ \minus{} 280