Write a Polynomial F (X) That Meets the Given Conditions $\frac { 3 } { 4 }$

question 71

Multiple Choice

Write a polynomial f (x) that meets the given conditions.
-Polynomial of lowest degree with zeros of $\frac { 3 } { 4 }$ (multiplicity 2 ) and $\frac { 1 } { 3 }$ (multiplicity 1 ) and with $f ( 0 ) = - 18$

• A) \(f ( x ) = 96 x ^ { 3 } - 176 x ^ { 2 } + 102 x - 18\)
• B) \(f ( x ) = 48 x ^ { 3 } - 88 x ^ { 2 } + 51 x - 18\)
• C) \(f ( x ) = 96 x ^ { 3 } - 176 x ^ { 2 } - 6 x - 18\)
• D) \(f ( x ) = 48 x ^ { 3 } - 88 x ^ { 2 } + 3 x - 18\)