Determine the Constant That Should Be Added to the Binomial $$x ^ { 2 } + 18 x + 71 = 0$$

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.
- $$x ^ { 2 } + 18 x + 71 = 0$$

A) $\{ - 9 - \sqrt { 10 } , - 9 + \sqrt { 10 } \}$
B) $\{ 9 + \sqrt { 10 } \}$
C) $\{ 9 - \sqrt { 71 } , 9 + \sqrt { 71 } \}$
D) $\{ - 18 + \sqrt { 71 } \}$ ) {9 ) {