Use the Factor Theorem to Determine Whether X - C $$f ( x ) = 6 x ^ { 3 } + 16 x ^ { 2 } + 18 x - 8 ; c = \frac { 1 } { 3 }$$

Multiple Choice

Use the Factor Theorem to determine whether x - c is a factor of f. If it is, write f in factored form, that is, write f in the
form f(x) = (x - c) (quotient) .
- $$f ( x ) = 6 x ^ { 3 } + 16 x ^ { 2 } + 18 x - 8 ; c = \frac { 1 } { 3 }$$

A) Yes; $f ( x ) = \left( x - \frac { 1 } { 3 } \right) \left( 6 x ^ { 2 } + 19 x + 24 \right)$
B) Yes; $f ( x ) = \left( x - \frac { 1 } { 3 } \right) \left( 6 x ^ { 2 } + 18 x + 24 \right)$
C) Yes; $f ( x ) = \left( x + \frac { 1 } { 3 } \right) \left( 6 x ^ { 2 } + 18 x - 24 \right)$
D) $\mathrm { No }$