Add the Proper Constant to the Binomial So That the Resulting

question 4

Multiple Choice

Add the proper constant to the binomial so that the resulting trinomial is a perfect square trinomial. Then factor the
trinomial.
- $$x ^ { 2 } + \frac { 4 } { 9 } x$$

• A) \(x ^ { 2 } + \frac { 4 } { 9 } x + \frac { 2 } { 81 } = \left( x + \frac { 2 } { 9 } \right) ^ { 2 }\)
• B) \(x ^ { 2 } + \frac { 4 } { 9 } x + \frac { 4 } { 9 } = \left( x + \frac { 2 } { 9 } \right) ^ { 2 }\)
• C) \(x ^ { 2 } + \frac { 4 } { 9 } x + \frac { 4 } { 81 } = \left( x + \frac { 2 } { 9 } \right) ^ { 2 }\)
• D) \(x ^ { 2 } + \frac { 4 } { 9 } x + \frac { 8 } { 81 } = \left( x + \frac { 4 } { 9 } \right) ^ { 2 }\)

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Definitions:

Breccia

A type of rock consisting of angular fragments of minerals or rocks cemented together by a finer-grained matrix, often formed by volcanic or tectonic actions.

Formation

A rock unit that is distinct, laterally traceable, and mappable; also used as an informal term for an eroded, perhaps unusually shaped, mass of rock.

Cross Beds

Sedimentary layers deposited at an angle to the horizontal, typically formed by wind or water currents.

Well-sorted

Describes sediment in which grains are of nearly the same size.