Find the Product $$\left( x ^ { 2 } + x + 3 \right) \left( x ^ { 2 } + x + 6 \right)$$

question 1

Multiple Choice

Find the product. Assume all variable exponents represent whole numbers.
- $$\left( x ^ { 2 } + x + 3 \right) \left( x ^ { 2 } + x + 6 \right)$$

• A) \(x ^ { 4 } + x ^ { 3 } + 9 x ^ { 2 } + 9 x + 18\)
• B) \(x ^ { 4 } + x ^ { 3 } - 8 x ^ { 2 } - 9 x + 18\)
• C) \(x ^ { 4 } + 2 x ^ { 3 } + 10 x ^ { 2 } + 9 x + 18\)
• D) \(x ^ { 4 } + 2 x ^ { 3 } - 9 x ^ { 2 } - 3 x + 18\)

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Definitions:

Brain Stem

The posterior part of the brain, adjoined to the spinal cord, that controls basic life functions such as heartbeat, breathing, and blood pressure.

Cerebellum

A part of the brain located at the back of the skull that is responsible for coordinating voluntary movements and maintaining balance and posture.

Frontal Lobe

The part of the brain located at the front of each cerebral hemisphere, responsible for voluntary movement, expressive language, and managing higher-level executive functions.

Hippocampus

The Hippocampus is a major component of the brain, important in the consolidation of information from short-term to long-term memory and in spatial memory that enables navigation.