Divide Using Long Division $$\frac { x ^ { 4 } + 81 } { x - 3 }$$

question 387

Multiple Choice

Divide using long division.
- $$\frac { x ^ { 4 } + 81 } { x - 3 }$$

• A) \(x ^ { 3 } + 3 x ^ { 2 } + 9 x + 27 + \frac { 162 } { x - 3 }\)
• B) \(x ^ { 3 } + 3 x ^ { 2 } + 9 x + 27 + \frac { 81 } { x - 3 }\)
• C) \(x ^ { 3 } + 3 x ^ { 2 } + 9 x + 27\)
• D) \(x ^ { 3 } - 3 x ^ { 2 } + 9 x - 27 + \frac { 162 } { x - 3 }\)

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Definitions:

Eustachian Tube

A canal that connects the middle ear to the nasopharynx and helps equalize air pressure on both sides of the eardrum.

Auditory Tube

A canal that connects the middle ear to the nasopharynx, helping equalize air pressure on either side of the eardrum.

High-Frequency Deafness

A hearing impairment characterized by difficulty hearing sounds at higher frequencies, often affecting speech understanding.

Ototoxic

Having a toxic effect on the ear or its nerve supply, often referring to drugs or substances that can cause hearing loss or balance disorders.