Add the Polynomials $$\left( 5 x ^ { 2 n } - x ^ { n } - 1 \right) + \left( x ^ { 2 n } + 4 x ^ { n } + 10 \right)$$

question 18

Multiple Choice

Add the polynomials. Assume all variable exponents represent whole numbers.
- $$\left( 5 x ^ { 2 n } - x ^ { n } - 1 \right) + \left( x ^ { 2 n } + 4 x ^ { n } + 10 \right)$$

• A) \(4 x ^ { 4 n } - 5 x ^ { 2 n } - 11\)
• B) \(6 x ^ { 2 n } + 3 x ^ { n } + 9\)
• C) \(5 x ^ { 2 n } + 4 x ^ { n } + 10\)
• D) \(6 x ^ { 4 n } + 5 x ^ { 2 n } + 11\)

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Definitions:

The Spinal Cord

A long, thin, tubular bundle of nervous tissue and support cells that extends from the brain. It is responsible for transmitting neural signals between the brain and the rest of the body.

Sensory Neurons

Nerve cells that transmit sensory information (sight, sound, touch, taste, and smell) from the periphery to the central nervous system.

Motor Neurons

Nerve cells that transmit impulses from the brain or spinal cord to muscles or glands, enabling movement and action.

Afferent;efferent

Afferent refers to conducting signals towards a central point (e.g., nerves that carry sensory information to the brain), while efferent refers to conducting signals away from a central point (e.g., nerves that carry motor signals from the brain to muscles).