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

question 90

Multiple Choice

Use synthetic division to determine the quotient and remainder for the division problem. $\left( x ^ { 3 } - 10 x - 12 \right) \div ( x + 2 )$

• A) \(Q : x ^ { 2 } + 2 x - 6\)
• \(\mathrm { R } : 0\)
• B) \(\begin{array} { l }
• \text { Q: } x ^ { 2 } - 2 x + 6 \\
• \text { R: } - 1
• \end{array}\)
• C) \(\mathrm { Q } : x ^ { 2 } - 2 x + 6\)
• \(\mathrm { R } : 0\)
• D) \(Q : x ^ { 2 } - 2 x - 6\)
• \(\mathrm { R } : 0\)
• E) \(Q : x ^ { 2 } - 2 x - 6\)
• \(\mathrm { R } : 1\)

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Definitions:

Cerebrum

The cerebrum is the largest part of the brain, responsible for cognitive functions such as thought, memory, and decision-making.

Temporal Lobe

A region of the brain located on the sides of the cerebral hemisphere, involved in processing auditory information and encoding memory.

Gray Matter

The region of the brain and spinal cord that is rich in nerve cell bodies and is darker than the surrounding white matter due to its higher neuronal density.

Cerebrum

The largest part of the brain, responsible for voluntary activities, sensation, thought, reasoning, and memory.