Use the Factor Theorem to Determine Whether X - C $$f ( x ) = 5 x ^ { 4 } - 7 x ^ { 3 } + 17 x ^ { 2 } - 21 x + 6 ; c = 1$$

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) .
- $$f ( x ) = 5 x ^ { 4 } - 7 x ^ { 3 } + 17 x ^ { 2 } - 21 x + 6 ; c = 1$$

A) Yes; $f ( x ) = ( x - 1 ) \left( 5 x ^ { 3 } + 3 x ^ { 2 } + 15 x - 6 \right)$
B) Yes; $f ( x ) = ( x - 1 ) \left( 5 x ^ { 3 } - 2 x ^ { 2 } - 16 x - 6 \right)$
C) Yes; $f ( x ) = ( x - 1 ) \left( 5 x ^ { 3 } - 2 x ^ { 2 } + 15 x - 6 \right)$
D) No