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:

Uric Acid

A waste product formed from the breakdown of purines, excreted in the urine; high levels can lead to gout and kidney stones.

Highly Toxic

Describes substances that are dangerous and can cause significant harm or death even in small amounts.

Ammonia

A colorless gas with a characteristic pungent odor, NH3, which is a compound of nitrogen and hydrogen and is used in the manufacture of fertilizers, explosives, and cleaning products.

Nitrogenous Waste

Nitrogenous Waste refers to waste substances containing nitrogen, such as ammonia, urea, and uric acid, produced by the metabolism of proteins and nucleic acids in living organisms.