Use Synthetic Division to Determine the Quotient and Remainder for the Division

question 140

Multiple Choice

Use synthetic division to determine the quotient and remainder for the division problem. $\left( 2 x ^ { 4 } + 2 x ^ { 2 } + 1 \right) \div ( x + 2 )$

• A) Q: \(2 x ^ { 3 } - 4 x ^ { 2 } + 10 x - 20\)
• \(\mathrm { R } : 41\)
• B) \(\begin{array} { l }
• \text { Q: } 2 x ^ { 3 } - 4 x ^ { 2 } - 10 x + 20 \\
• \text { R: } - 41
• \end{array}\)
• C) Q: \(2 x ^ { 3 } - 4 x ^ { 2 } + 10 x - 20\)
• \(\mathrm { R } : 0\)
• D) Q: \(2 x ^ { 3 } - 4 x ^ { 2 } - 10 x + 20\)
• \(\mathrm { R } : 0\)
• E) \(\begin{array} { l }
• \text { Q: } 2 x ^ { 3 } - 4 x ^ { 2 } + 10 x - 20 \\
• \text { R: } - 41
• \end{array}\)

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Definitions:

Unconscious Information Processing

The handling and reaction to information by the brain without conscious awareness.

Visual Cortex

The part of the cerebral cortex responsible for processing visual information.

Hypnagogic Sensations

Experiences that occur at the onset of sleep, characterized by vivid sensory phenomena such as seeing shapes, hearing noises, or feeling as if falling.

Sleep Spindles

Sudden bursts of oscillatory brain activity visible on an EEG that occur during stage 2 of NREM sleep, associated with memory consolidation and synaptic plasticity.