Write $f ( x ) = x ^ { 3 } + 7 x ^ { 2 } + 13 x + 22$

question 110

Multiple Choice

Write $f ( x ) = x ^ { 3 } + 7 x ^ { 2 } + 13 x + 22$ in the form $f ( x ) = ( x - k ) q ( x ) + r$ when k = -5.

• A) \(f ( x ) = ( x + 5 ) \left( x ^ { 2 } + 2 x + 3 \right) + 7\)
• B) \(f ( x ) = ( x + 5 ) \left( x ^ { 2 } - 2 x + 3 \right) - 7\)
• C) \(f ( x ) = ( x - 5 ) \left( x ^ { 2 } + 2 x + 3 \right) - 7\)
• D) \(f ( x ) = ( x - 5 ) \left( x ^ { 2 } - 2 x + 3 \right) + 7\)
• E) \(f ( x ) = ( x + 5 ) \left( x ^ { 2 } + 2 x + 3 \right)\)

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Definitions:

Compounded Annually

Interest calculated on the initial principal and the accumulated interest from the past year added together once per year.

Term Deposit

A type of bank deposit that has a fixed term and typically offers a higher interest rate than a regular savings account.

Interest Rate

The percentage of a sum of money charged for its use.

Original Principal

The initial amount of money borrowed or invested before any interest or earnings are applied.