Find the Quotient Using Long Division $\frac { 6 x ^ { 3 } + 13 x ^ { 2 } + 10 x - 5 } { - 3 x + 1 }$

question 273

Multiple Choice

Find the quotient using long division.
- $\frac { 6 x ^ { 3 } + 13 x ^ { 2 } + 10 x - 5 } { - 3 x + 1 }$

• A) \(x ^ { 2 } - 5 x - 5\)
• B) \(- 2 x ^ { 2 } - 5 x - 5\)
• C) \(- 2 x ^ { 2 } - 5\)
• D) \(x ^ { 2 } + 5 x + 5\)

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Definitions:

Appeal to the Mob Fallacy

A logical fallacy that argues a position is true or correct because many or most people believe it.

Thermodynamics

The branch of physics that deals with the relationships between heat and other forms of energy and, by extension, the relationships between all forms of energy.

Logical Strength

The extent to which the premises of an argument support its conclusion, influencing its capacity to persuade or convince logically.

Sound Argument

An argument that is both valid (correctly structured so that the conclusion logically follows from the premises) and has all true premises.