Determine the Constant That Should Be Added to the Binomial $$x ^ { 2 } - 5 x$$

Multiple Choice

Determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Then
write and factor the trinomial.
- $$x ^ { 2 } - 5 x$$

A) $\frac { 25 } { 4 } ; x ^ { 2 } - 5 x + \frac { 25 } { 4 } = \left( x - \frac { 5 } { 2 } \right) ^ { 2 }$
B) $- \frac { 25 } { 4 } ; x ^ { 2 } - 5 x - \frac { 25 } { 4 } = \left( x - \frac { 5 } { 2 } \right) ^ { 2 }$
C) $\frac { 5 } { 2 } ; x ^ { 2 } - 5 x + \frac { 5 } { 2 } = \left( x - \frac { 5 } { 2 } \right) ^ { 2 }$
D) $25 ; x ^ { 2 } - 5 x + 25 = ( x - 5 ) ^ { 2 }$