Multiply the Monomial and the Polynomial $4 x ^ { n } \left( 2 x ^ { 3 n } + 3 x ^ { n } + \frac { 1 } { 4 } x \right)$

question 43

Multiple Choice

Multiply the monomial and the polynomial. Assume any variable exponents represent whole numbers.
- $4 x ^ { n } \left( 2 x ^ { 3 n } + 3 x ^ { n } + \frac { 1 } { 4 } x \right)$

• A) \(8 x ^ { 4 n } + 12 x ^ { 2 n } + 1 x ^ { n } + 1\)
• B) \(8 x ^ { 4 n } + 12 x ^ { n } + 1 x ^ { n } + 1\)
• C) \(8 x ^ { 4 n } - 12 x ^ { 2 n } - 1 x ^ { n } + 1\)
• D) \(8 x ^ { 4 n } + 12 x ^ { 2 n } + 1 x ^ { n }\)

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Definitions:

Link Method

A mnemonic technique that involves forming a mental image of items to be remembered in a way that links them together.

Structural Encoding

The process of encoding sensory input into memory based primarily on the structure of objects, such as their shape or size, rather than their meaning.

Passive Encoding

The process of absorbing information without actively trying to remember it or giving it full attention.

Keyword Method

A memory technique that involves associating a familiar word with a new word to facilitate recall.