Add the Proper Constant to the Binomial So That the Resulting

question 210

Multiple Choice

Add the proper constant to the binomial so that the resulting trinomial is a perfect square trinomial. Then factor the
trinomial.
- $$\mathrm { p } ^ { 2 } + 5 \mathrm { p }$$

• A) \(p ^ { 2 } + 5 p + \frac { 25 } { 4 } = \left( p + \frac { 5 } { 2 } \right) ^ { 2 }\)
• B) \(\mathrm { p } ^ { 2 } + 5 \mathrm { p } - \frac { 25 } { 4 } = \left( \mathrm { p } - \frac { 5 } { 2 } \right) ^ { 2 }\)
• C) \(p ^ { 2 } + 5 p + 10 = ( p + 5 ) ^ { 2 }\)
• D) \(p ^ { 2 } + 5 p + \frac { 25 } { 2 } = \left( p + \frac { 25 } { 2 } \right) ^ { 2 }\)

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Definitions:

Marginal Cost

A measure of the expense associated with manufacturing an additional item of a particular good.

Total Variable Cost

The sum of all variable costs (costs that change with the level of output) associated with producing a specific amount of a good or service.

Product Price

The amount of money required to purchase a good or service.

Marginal Cost

The additional expense associated with creating another unit of a product or service.