Use Long Division to Divide the First Polynomial Below by the Second

question 3

Multiple Choice

Use long division to divide the first polynomial below by the second. $x ^ { 5 } + x ^ { 4 } + 7 x ^ { 3 } + x ^ { 2 } + 6 x - 27,$ $x ^ { 2 } + 6$

• A) \(x ^ { 3 } + x ^ { 2 } - 5 x + 3 + \frac { 1 } { x ^ { 2 } + 6 }\)
• B) \(x ^ { 3 } + x ^ { 2 } + x - 5 + \frac { 3 } { x ^ { 2 } + 6 }\)
• C) \(x ^ { 3 } + x ^ { 2 } + x + 3 + \frac { 1 } { x ^ { 2 } + 6 }\)
• D) \(x ^ { 3 } + 3 x ^ { 2 } + x + 1 - \frac { 5 } { x ^ { 2 } + 6 }\)
• E) \(x ^ { 3 } - 5 x ^ { 2 } + 3 x + 1 + \frac { 1 } { x ^ { 2 } + 6 }\)

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Definitions:

Sensory Registers

Memory systems that hold incoming information from the senses for a very brief period of time, allowing it to be processed.

Reconstructive Memory

The theory that memories are not stored as exact replicas of experiences but rather are reconstructed during recall.

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The act of protecting oneself from physical harm, typically through the use of physical force or strategies.

Rote Rehearsal

A memorization technique that involves repeating information over and over to learn it.