A Polynomial F (X) and One of Its Zeros Are $f ( x ) = 4 x ^ { 3 } - 23 x ^ { 2 } + 46 x + 13 ; \quad 3 + 2 i$

question 145

Multiple Choice

A polynomial f (x) and one of its zeros are given. Factor f (x) as a product of linear factors.
- $f ( x ) = 4 x ^ { 3 } - 23 x ^ { 2 } + 46 x + 13 ; \quad 3 + 2 i$ is a zero

• A) \(( 4 x + 1 ) ( x - ( 3 + 2 i ) ) ( x + ( 3 + 2 i ) )\)
• B) \(( 4 x - 1 ) ( x - ( 3 + 2 i ) ) ( x + ( 3 + 2 i ) )\)
• C) \(( 4 x + 1 ) ( x - ( 3 + 2 i ) ) ( x - ( 3 - 2 i ) )\)
• D) \(( 4 x - 1 ) ( x - ( 3 + 2 i ) ) ( x - ( 3 - 2 i ) )\)