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:

Paranoid Schizophrenia

A form of schizophrenia distinguished by significant delusions or hearing voices, with cognitive abilities and emotional response largely intact.

Catatonic Schizophrenia

is a subtype of schizophrenia characterized by abnormalities in motor behavior which can include extreme physical immobility or excessive, pointless movements.

Undifferentiated Schizophrenia

A subtype of schizophrenia where symptoms do not clearly fit into other specific categories of the disorder.

Delusions of Grandeur

A false belief in one's own superiority, greatness, or power.