Add the Proper Constant to the Binomial So That the Resulting

question 230

Multiple Choice

Add the proper constant to the binomial so that the resulting trinomial is a perfect square trinomial. Then factor the
trinomial.
- $$x ^ { 2 } + \frac { 1 } { 6 } x$$

• A) \(x ^ { 2 } + \frac { 1 } { 6 } x + 144 = ( x + 12 ) ^ { 2 }\)
• B) \(x ^ { 2 } + \frac { 1 } { 6 } x + \frac { 1 } { 144 } = \left( x + \frac { 1 } { 12 } \right) ^ { 2 }\)
• C) \(x ^ { 2 } + \frac { 1 } { 6 } x + \frac { 1 } { 36 } = \left( x + \frac { 1 } { 6 } \right) ^ { 2 }\)
• D) \(x ^ { 2 } + \frac { 1 } { 6 } x + \frac { 1 } { 12 } = \left( x + \frac { 1 } { 6 } \right) ^ { 2 }\)

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Definitions:

Psychological Demand

The degree to which a task requires sustained psychological effort or skills.

Mental Load

The cognitive burden of keeping track of and managing household tasks, responsibilities, and planning, often disproportionately shouldered by one person in a household.

Decision Control

The extent to which individuals have the power or autonomy to make choices and decisions regarding aspects of their life or work, influencing their sense of control and satisfaction.

Occupational Stress

The physical and emotional stress experienced due to pressures and demands at one's place of work.