Divide Using Synthetic Division, and Write a Summary Statement in Fraction

question 371

Multiple Choice

Divide using synthetic division, and write a summary statement in fraction form.
- $$\frac { 2 x ^ { 4 } - x ^ { 3 } - 15 x ^ { 2 } + 3 x } { x + 3 }$$

• A) \(2 x ^ { 3 } + 5 x ^ { 2 } + 3 + \frac { 9 } { x + 3 }\)
• B) \(2 x ^ { 3 } - 7 x ^ { 2 } + 6 x + 15 + \frac { 45 } { x + 3 }\)
• C) \(2 x ^ { 3 } - 5 x ^ { 2 } + 3 + \frac { 9 } { x + 3 }\)
• D) \(2 x ^ { 3 } - 7 x ^ { 2 } + 6 x - 15 + \frac { 45 } { x + 3 }\)

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Definitions:

Rental Contract

A written or verbal agreement between a lessor and lessee that stipulates the terms and conditions under which a property, vehicle, or piece of equipment is rented.

Prepaid Insurance

An asset account representing insurance payments made in advance for coverage extending beyond the current accounting period.

Equipment Rent

Equipment rent refers to the cost associated with leasing machinery, tools, or other equipment for a specified period, instead of purchasing them outright.

Service Contract

An agreement between a service provider and a customer to deliver specified services over a set period.