Tendo em mãos a tabela de diferenças divididas abaixo, assinale a alternativa que contém o polinômio interpolador de grau 3. table row x blank cell f left parenthesis x right parenthesis end cell blank cell f left square bracket x subscript k comma x subscript k minus 1 end subscript right square bracket end cell blank cell f left square bracket x subscript k comma x subscript k minus 1 end subscript comma x subscript k minus 2 end subscript right square bracket end cell blank cell f left square bracket x subscript k comma x subscript k minus 1 end subscript comma x subscript k minus 2 end subscript comma x subscript k minus 3 end subscript right square bracket end cell row cell negative 2 end cell blank 12 blank space blank space blank blank row cell space space space space space end cell blank space blank cell negative 6 end cell blank space blank blank row cell space space space minus 1 end cell blank 6 blank space blank cell 3 over 2 end cell blank space row cell space space space space end cell blank space blank cell negative 4 end cell blank space blank cell negative 1 third end cell row cell space space space 0 end cell blank 2 blank space blank cell 1 half end cell blank blank row cell space space space space end cell blank space blank cell negative 2 end cell blank blank blank blank row cell space space space 1 end cell blank 0 blank space blank space blank blank end table a. p left parenthesis x right parenthesis equals 3 minus 13 over 6 x plus 1 half x squared minus 1 third x cubed b. p left parenthesis x right parenthesis equals negative 3 minus 13 over 2 x plus 1 half x squared minus 1 third x cubed c. p left parenthesis x right parenthesis equals negative 3 minus 13 over 6 x plus 1 half x squared minus 1 over 6 x cubed d. p left parenthesis x right parenthesis equals 3 minus 13 over 6 x minus 1 half x squared minus 1 third x cubed e. p left parenthesis x right parenthesis equals 3 plus 13 over 6 x plus 1 half x squared minus 1 third x cubed