Factor F(x) into Linear Factors Given That K Is a Zero

question 203

Multiple Choice

Factor f(x) into linear factors given that k is a zero of f(x) .
- $$f ( x ) = 8 x ^ { 3 } + 34 x ^ { 2 } + 27 x - 9 ; k = \frac { 1 } { 4 }$$

• A) \(( 4 x - 1 ) ( 2 x - 3 ) ( x - 3 )\)
• B) \(( 4 x + 1 ) ( 2 x + 1 ) ( x - 9 )\)
• C) \(( 4 x - 1 ) ( 2 x + 3 ) ( x + 3 )\)
• D) \(( 4 x + 1 ) ( 2 x + 3 ) ( x - 3 )\)