Find the Indicated Product by Applying the Distributive Property and Combining

question 183

Multiple Choice

Find the indicated product by applying the distributive property and combining similar terms. $\left( x ^ { 2 } - 3 x - 2 \right) \left( x ^ { 2 } + 6 x - 6 \right)$

• A) \(x ^ { 4 } + 3 x ^ { 3 } - 26 x ^ { 2 } + 6 x - 12\)
• B) \(x ^ { 4 } + 3 x ^ { 3 } - 26 x ^ { 2 } + 18 x + 12\)
• C) \(x ^ { 4 } + 3 x ^ { 3 } - 8 x ^ { 2 } + 12 x + 6\)
• D) \(x ^ { 4 } - 3 x ^ { 3 } - 24 x ^ { 2 } + 6 x + 12\)
• E) \(x ^ { 4 } + 3 x ^ { 3 } - 26 x ^ { 2 } + 6 x + 12\)

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Definitions:

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A group of bacteria, including Mycobacterium tuberculosis, that resist decolorization by acids after being stained, used in diagnosing tuberculosis and other infections.

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The maximum amount of air a person can expel from the lungs after a maximum inhalation.

Thoracoplasty

A surgical procedure involving the removal of ribs to collapse part of the lungs for the treatment of tuberculosis or other lung diseases.

Thyroid Cartilage

The largest cartilage of the larynx, commonly known as the Adam's apple, playing a key role in protecting the vocal cords and the entrance to the trachea.