Find the Product $$\left( x ^ { 2 } + x + 3 \right) \left( x ^ { 2 } + x + 6 \right)$$

question 1

Multiple Choice

Find the product. Assume all variable exponents represent whole numbers.
- $$\left( x ^ { 2 } + x + 3 \right) \left( x ^ { 2 } + x + 6 \right)$$

• A) \(x ^ { 4 } + x ^ { 3 } + 9 x ^ { 2 } + 9 x + 18\)
• B) \(x ^ { 4 } + x ^ { 3 } - 8 x ^ { 2 } - 9 x + 18\)
• C) \(x ^ { 4 } + 2 x ^ { 3 } + 10 x ^ { 2 } + 9 x + 18\)
• D) \(x ^ { 4 } + 2 x ^ { 3 } - 9 x ^ { 2 } - 3 x + 18\)

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Definitions:

Standard Deviation

A measure of the amount of variation or dispersion in a set of values, representing an average distance from the mean.

Mean

The average value obtained by adding all the data points in a set together and then dividing by the number of data points.

Standard Normal Curve

A symmetric bell-shaped curve that represents the distribution of many types of data where the mean is 0 and the standard deviation is 1.

Z-score

An index quantifying the position of a value relative to the average value in a dataset, expressed as the amount of standard deviations away from this mean.