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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Definitions:

Children

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Time

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Restless Legs Syndrome

A disorder characterized by an uncontrollable urge to move the legs, usually because of an uncomfortable sensation, typically occurring in the evening or night.

Men

Refers to adult human males, often studied in various contexts including health, behavior, and societal roles.