Write $f ( x ) = x ^ { 3 } + 5 x ^ { 2 } + 15 x + 28$

question 131

Multiple Choice

Write $f ( x ) = x ^ { 3 } + 5 x ^ { 2 } + 15 x + 28$ in the form f (x) = (x - k) q(x) when k = -3.

• A) \(f ( x ) = ( x + 3 ) \left( x ^ { 2 } + 2 x + 9 \right)\)
• B) \(f ( x ) = ( x + 3 ) \left( x ^ { 2 } + 2 x + 9 \right) + 1\)
• C) \(f ( x ) = ( x - 3 ) \left( x ^ { 2 } + 2 x + 9 \right) - 1\)
• D) \(f ( x ) = ( x - 3 ) \left( x ^ { 2 } - 2 x + 9 \right) + 1\)
• E) \(f ( x ) = ( x + 3 ) \left( x ^ { 2 } - 2 x + 9 \right) - 1\)