Use Long Division to Divide $$\left( x ^ { 4 } - 2 x ^ { 2 } - 1 \right) \div \left( x ^ { 2 } - 3 x - 2 \right)$$

question 100

Multiple Choice

Use long division to divide. $$\left( x ^ { 4 } - 2 x ^ { 2 } - 1 \right) \div \left( x ^ { 2 } - 3 x - 2 \right)$$

• A) \(x ^ { 2 } - 3 x + 3 + \frac { x - 2 } { x ^ { 2 } - 3 x - 2 }\)
• B) \(x ^ { 2 } + 3 x + 9 + \frac { 33 x + 17 } { x ^ { 2 } - 3 x - 2 }\)
• C) \(x ^ { 2 } - 3 x + 3\)
• D) \(x ^ { 2 } + 3 x - 3 - \frac { 4 } { x ^ { 2 } + 3 x - 3 }\)
• E) \(x ^ { 2 } + 3 x - 3\)

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Definitions:

Opportunity Cost

The cost of forgoing the next best alternative when making a decision.

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An outdoor game in which players use clubs to hit a small ball into a series of holes on a course in as few strokes as possible.

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Days characterized by sunshine, with minimal to no cloud cover, often associated with good weather.

Opportunity Cost

The loss of potential gain from other alternatives when one alternative is chosen.