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

question 14

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:

Experience Differentiation

Engaging a customer with a product through imaginative use of the five senses, so the customer “experiences” the product.

Consumer's Five Senses

Refers to how businesses tap into taste, touch, sight, sound, and smell to influence consumer behavior and enhance the shopping experience.

Product Differentiation

Product differentiation is a marketing strategy that businesses use to distinguish their products from similar offerings on the market.

Service Sector

The sector of an economy that is concerned with the production of services rather than goods, including industries like healthcare, education, retail, and financial services.