Find the Taylor Series Generated by F at X = $$f ( x ) = x ^ { 3 } + 8 x ^ { 2 } + 7 x + 6 , a = - 2$$

question 431

Multiple Choice

Find the Taylor series generated by f at x = a.
- $$f ( x ) = x ^ { 3 } + 8 x ^ { 2 } + 7 x + 6 , a = - 2$$

• A) \(( x + 2 ) ^ { 3 } + 2 ( x + 2 ) ^ { 2 } - 13 ( x + 2 ) + 16\)
• B) \(( x + 2 ) ^ { 3 } - 2 ( x + 2 ) ^ { 2 } - 13 ( x + 2 ) - 16\)
• C) \(( x + 2 ) ^ { 3 } - 2 ( x + 2 ) ^ { 2 } - 27 ( x + 2 ) - 16\)
• D) \(( x + 2 ) ^ { 3 } + 2 ( x + 2 ) ^ { 2 } - 27 ( x + 2 ) + 16\)