Find All Rational Zeros and Factor F(x) $f ( x ) = 6 x ^ { 3 } + 19 x ^ { 2 } + 8 x - 5$

question 69

Multiple Choice

Find all rational zeros and factor f(x) .
$f ( x ) = 6 x ^ { 3 } + 19 x ^ { 2 } + 8 x - 5$

• A) \(1 , - \frac { 5 } { 2 } , - \frac { 1 } { 3 } ; f ( x ) = ( x - 1 ) ( 3 x + 1 ) ( 2 x + 5 )\)
• B) \(1 , - 5 , - \frac { 1 } { 6 } ; f ( x ) = ( x - 1 ) ( 6 x + 1 ) ( x + 5 )\)
• C) \(- 1 , - 5 , \frac { 1 } { 6 } ; f ( x ) = ( x + 1 ) ( 6 x - 1 ) ( x + 5 )\)
• D) \(- 1 , - \frac { 5 } { 2 } , \frac { 1 } { 3 } ; f ( x ) = ( x + 1 ) ( 3 x - 1 ) ( 2 x + 5 )\)