Write an equation of the polynomial function p having only roots -4,-2,1, and 3 and with given characteristics. There are several possible solutions.
A) as x -> inf and deg p > 6
B) p(0) = -24 and p can have at least 5 local extrema.
C) As x -> inf, f(x) -> +-inf, and all non-constant factors of p correspond to real rools
D) p has leading coefficent pi and 2 non-constant factors which don't correspond to real roots.