Determine the Intervals on Which the Following Polynomial Is Entirely $- x ^ { 2 } - 2 x + 35$

Multiple Choice

Determine the intervals on which the following polynomial is entirely negative and those on which it is entirely positive. $- x ^ { 2 } - 2 x + 35$

A) entirely negative: $( - \infty , 6 )$ ; entirely positive: $( 6 , \infty )$
B) entirely negative: $( - \infty , - 7 ) , ( 5,6 )$ ; entirely positive: $( - 7,6 )$
C) entirely negative: $( - \infty , - 7 ) , ( 5 , \infty )$ ; entirely positive: $( - 7,5 )$
D) entirely negative: $( - 7,6 )$ ; entirely positive: $( 0 , \infty )$
E) entirely negative: $( - \infty , 0 )$ ; entirely positive: $( 0 , \infty )$