Find a Polynomial Function with Following Characteristics $- 3$ , Multiplicity: 2
Falls to the Left,
Falls to the 4

Multiple Choice

Find a polynomial function with following characteristics.
Degree: 4
Zero: 4 , multiplicity: 2
Zero: $- 3$ , multiplicity: 2
Falls to the left,
Falls to the right
Absolute value of the leading coefficient is one

A) $y = x ^ { 4 } + x ^ { 3 } - 23 x ^ { 2 } + 24 x - 12$
B) $y = - x ^ { 4 } + x ^ { 3 } - 48 x ^ { 2 } + 9$
C) $y = x ^ { 4 } - 6 x ^ { 3 } - 18 x ^ { 2 } + 25 x + 48$
D) $y = - x ^ { 4 } + 2 x ^ { 3 } + 23 x ^ { 2 } - 24 x - 144$
E) $y = - x ^ { 4 } + 2 x ^ { 3 } - 24 x - 36$