For What Values Of $c$ Does the Curve Have Maximum and Minimum Points

Multiple Choice

For what values of $c$ does the curve have maximum and minimum points?
$$F ( x ) = 4 x ^ { 3 } + c x ^ { 2 } + 10 x$$

A) $| c | > 40$
B) $| c | > \sqrt { 1200 }$
C) $| c | > \sqrt { 120 }$
D) $| c | > 12$
E) $| c | > \sqrt { 30 }$