Determine the Intervals for Which $x ^ { 2 } - 4 x - 45$

Multiple Choice

Determine the intervals for which $x ^ { 2 } - 4 x - 45$ is entirely negative and entirely positive.

A) negative: $( 5,9 )$ ; positive: $( - \infty , 5 ) \cup ( 9 , \infty )$
B) negative: $( - 5,9 )$ ; positive: $( - \infty , - 9 ) \cup ( 5 , \infty )$
C) negative: $( - 5,9 )$ ; positive: $( - \infty , - 5 ) \cup ( 9 , \infty )$
D) negative: $( 5,9 )$ ; positive: $( - \infty , - 9 ) \cup ( 5 , \infty )$
E) negative: $( - 9,5 )$ ; positive: $( - \infty , - 9 ) \cup ( 5 , \infty )$