Determine the Constant That Should Be Added to the Binomial $$x ^ { 2 } + x + 1 = 0$$

question 412

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.
- $$x ^ { 2 } + x + 1 = 0$$

• A) \(\left\{ \frac { - 1 \pm i \sqrt { 3 } } { 2 } \right\}\)
• B) \(\left\{ \frac { 1 \pm i \sqrt { 3 } } { 2 } \right\}\)
• C) \(\left\{ \frac { 1 \pm \sqrt { 3 } } { 2 } \right\}\)
• D) \(\left\{ \frac { - 1 \pm \sqrt { 3 } } { 2 } \right\}\)

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