Add the Proper Constant to the Binomial So That the Resulting

question 217

Multiple Choice

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

• A) \(x ^ { 2 } - \frac { 2 } { 9 } x + \frac { 2 } { 81 } = \left( x - \frac { 1 } { 9 } \right) ^ { 2 }\)
• B) \(x ^ { 2 } - \frac { 2 } { 9 } x + \frac { 1 } { 81 } = \left( x - \frac { 1 } { 9 } \right) ^ { 2 }\)
• C) \(x ^ { 2 } - \frac { 2 } { 9 } x + \frac { 1 } { 81 } = \left( x + \frac { 1 } { 9 } \right) ^ { 2 }\)
• D) \(x ^ { 2 } - \frac { 2 } { 9 } x + \frac { 4 } { 81 } = \left( x - \frac { 2 } { 9 } \right) ^ { 2 }\)

---

Definitions:

Stimulus Discrimination

The learned ability to differentiate between similar stimuli and respond appropriately to each.

Stimulus Generalization

The process by which a response that has been learned to one stimulus is elicited by a different, but similar, stimulus.

Spontaneous Recovery

The reappearance of a previously extinguished conditioned response after a period of rest, without any further conditioning.

Skinner Box

An experimental apparatus developed by B.F. Skinner for studying operant conditioning in animals, involving levers, stimuli, and rewards.