Use Synthetic Division to Divide $\frac { x ^ { 3 } + 3 x ^ { 2 } - 9 } { x + 4 }$

question 56

Multiple Choice

Use synthetic division to divide. $\frac { x ^ { 3 } + 3 x ^ { 2 } - 9 } { x + 4 }$

• A) \(x ^ { 2 } - x - 5 - \frac { 5 } { x + 4 }\)
• B) \(x ^ { 2 } + x + 2 - \frac { 15 } { x + 4 }\)
• C) \(x ^ { 2 } + 7 x + 28 + \frac { 121 } { x + 4 }\)
• D) \(x ^ { 2 } - x + 6 - \frac { 10 } { x + 4 }\)
• E) \(x ^ { 2 } - x + 4 - \frac { 25 } { x + 4 }\)

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Definitions:

Prototype View

A theory in cognitive science suggesting that mental categorization is based on the best or most typical example of a category.

Lexicon

A vocabulary of a language, person, or branch of knowledge, including words and expressions as well as their meanings.

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Mental representations of categories of objects, events, or ideas based on shared properties.

Categorization

The process of recognizing, differentiating, and understanding objects, concepts, or experiences by grouping them into categories based on shared characteristics.