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

question 244

Multiple Choice

Use synthetic division to determine the quotient and remainder for the division problem. $\left( 4 x ^ { 4 } - x ^ { 3 } + 2 x ^ { 2 } - 7 x - 1 \right) \div ( x + 1 )$

• A) \[Q : 4 x ^ { 3 } - 5 x ^ { 2 } + 7 x - 14\]
• \(\mathrm { R } : 13\)
• B) \[Q : 4 x ^ { 3 } - 5 x ^ { 2 } - 7 x - 14\]
• \(\mathrm { R } : 0\)
• C) \[Q : 4 x ^ { 3 } - 5 x ^ { 2 } - 7 x - 14\]
• \(\mathrm { R } : 13\)
• D) \(\begin{array} { l }
• \mathrm { Q } : 4 x ^ { 3 } - 5 x ^ { 2 } - 7 x - 14 \\
• \mathrm { R } : - 13
• \end{array}\)
• E) \[Q : 4 x ^ { 3 } - 5 x ^ { 2 } + 7 x - 14\]
• \(\mathrm { R } : 0\)

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Definitions:

Formal Operational

The final stage in Piaget's cognitive development theory, characterized by the ability to think abstractly, reason logically, and manage problems systematically.

Egocentrism

A cognitive characteristic where an individual is unable to distinguish between their own perspective and that of others, often seen in early childhood development.

Pretend Play

A form of play among children where they imitate roles and activities of people around them or characters from stories, as a way to make sense of the world.

Conservation

In psychology, the ability to understand that certain properties of objects, like volume or mass, remain unchanged even when their forms or appearances change, typically associated with Piaget's stages of cognitive development.