Use the Factor Theorem to Factor the Polynomial $f ( x ) = 6 x ^ { 3 } + 31 x ^ { 2 } - 29 x + 6$

question 230

Multiple Choice

Use the factor theorem to factor the polynomial.
-Factor $f ( x ) = 6 x ^ { 3 } + 31 x ^ { 2 } - 29 x + 6$ given that $\frac { 1 } { 3 }$ is a zero.

• A) \(f ( x ) = ( 3 x - 1 ) ( 2 x + 1 ) ( x - 6 )\)
• B) \(f ( x ) = ( 3 x + 1 ) ( 2 x - 1 ) ( x - 6 )\)
• C) \(f ( x ) = ( 3 x - 1 ) ( 2 x - 1 ) ( x + 6 )\)
• D) \(f ( x ) = ( 3 x + 1 ) ( 2 x + 1 ) ( x + 6 )\)

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