Write a Polynomial F (X) That Meets the Given Conditions $- \frac { 6 } { 5 }$

Multiple Choice

Write a polynomial f (x) that meets the given conditions. Answers may vary.
-Degree 4 polynomial with zeros 4 and $- \frac { 6 } { 5 }$ (each with multiplicity 1 ) and 0 (with multiplicity 2 ) .

A) $f ( x ) = 6 x ^ { 4 } - 29 x ^ { 3 } - 20 x ^ { 2 }$
B) $f ( x ) = 6 x ^ { 4 } - 19 x ^ { 3 } - 20 x ^ { 2 }$
C) $f ( x ) = 5 x ^ { 4 } - 14 x ^ { 3 } - 24 x ^ { 2 }$
D) $f ( x ) = 5 x ^ { 4 } - 26 x ^ { 3 } + 24 x ^ { 2 }$