Simplify the Rational Expression $\frac { x ^ { 4 } + 5 x ^ { 3 } - 11 x ^ { 2 } - 33 x - 18 } { x ^ { 2 } + 2 x + 1 }$

question 115

Multiple Choice

Simplify the rational expression, $\frac { x ^ { 4 } + 5 x ^ { 3 } - 11 x ^ { 2 } - 33 x - 18 } { x ^ { 2 } + 2 x + 1 }$ , by using long division or synthetic division.

• A) \(- x ^ { 2 } - 9 x - 18\)
• B) \(x ^ { 2 } - 2 x - 3\)
• C) \(- x ^ { 2 } - 6 x + 36\)
• D) \(x ^ { 2 } + 3 x - 18\)
• E) \(x ^ { 2 } + 9 x + 36\)

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Definitions:

Revenue Expenditure

Expenses incurred during the normal course of business operations that are expected to be consumed within the same accounting period.

Long-term

Long-term refers to holding or involving a period of time that is significantly longer than average, often used in the context of investments, debts, and assets.

Accumulated Depreciation

The total depreciation for a fixed asset that has been charged to expense since the asset was acquired.

Gain on Sale

The income generated when an asset is sold at a value higher than its original cost or book value.