Perform the Indicated Operations and Simplify $\left( - 2 x ^ { 3 } + 6 x ^ { 2 } - 4 x + 8 \right) + \left( 3 x ^ { 3 } + x - 4 \right)$

question 59

Multiple Choice

Perform the indicated operations and simplify. $\left( - 2 x ^ { 3 } + 6 x ^ { 2 } - 4 x + 8 \right) + \left( 3 x ^ { 3 } + x - 4 \right)$

• A) \(2 x ^ { 3 } + 6 x ^ { 2 } + 3 x + 5\)
• B) \(2 x ^ { 3 } + 6 x ^ { 2 } + 3 x + 12\)
• C) \(2 x ^ { 3 } + 6 x ^ { 2 } + 3 x - 1\)
• D) \(x ^ { 3 } + 6 x ^ { 2 } + 3 x - 4\)
• E) \(x ^ { 3 } + 6 x ^ { 2 } - 3 x + 4\)

---

Definitions:

Per Capita Growth Rate

Refers to the rate of population growth per individual within a given time frame, often used to assess changes in population size relative to the current population.

Exponential Growth Rate

Exponential Growth Rate describes the increase of a quantity by a consistent rate over proportional time intervals, commonly observed in populations lacking resource limitations.

Biotic Potential

The maximum reproductive capacity of an organism under optimal environmental conditions, reflecting the potential for population growth.