Determine the Constant That Should Be Added to the Binomial $x ^ { 2 } - 11 x$

question 383

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.
- $x ^ { 2 } - 11 x$

• A) \(121 ; x ^ { 2 } - 11 x + 121 = ( x - 11 ) ^ { 2 }\)
• B) \(- \frac { 121 } { 4 } ; x ^ { 2 } - 11 x - \frac { 121 } { 4 } = \left( x - \frac { 11 } { 2 } \right) ^ { 2 }\)
• C) \(\frac { 11 } { 2 } ; x ^ { 2 } - 11 x + \frac { 11 } { 2 } = \left( x - \frac { 11 } { 2 } \right) ^ { 2 }\)
• D) \(\frac { 121 } { 4 } ; x ^ { 2 } - 11 x + \frac { 121 } { 4 } = \left( x - \frac { 11 } { 2 } \right) ^ { 2 }\)

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Definitions:

Relevant Range

The range of activity or volume over which the assumptions about fixed and variable costs are valid.

Variable Cost

Expenses that vary directly with the level of production or sales volume, such as materials, labor, and utility costs.

Contribution Margin

The amount remaining from sales revenue after variable expenses have been deducted, indicating how much contributes to fixed expenses and profit.

Selling Price

The amount for which a product is sold, determined by considering costs, market demand, competition, and other factors.