Find the Value of N So That the Expression Is $$x ^ { 2 } + 20 x + n$$

question 37

Multiple Choice

Find the value of n so that the expression is a perfect square trinomial and then factor the trinomial.
- $$x ^ { 2 } + 20 x + n$$

• A) \(n = 100 ; ( x + 10 ) ^ { 2 }\)
• B) \(n = 400 ; ( x + 20 ) ^ { 2 }\)
• C) \(n = 100 ; ( x + 10 ) ( x - 10 )\)
• D) \(n = 100 ; ( x - 10 ) ^ { 2 }\)

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Definitions:

Second-order Model

A statistical or mathematical model that includes not only the main effects but also their interactions and quadratic terms, enabling the capture of curvature in the data relationships.

First-order Model

A model in statistical analysis where the current value of a variable is primarily based on its immediate previous value, often used in time series analysis.

Predictor Variable

A variable used in statistical modeling to predict or forecast the outcome of an interest variable.

Regression Equation

A mathematical formula that describes the relationship between one dependent variable and one or more independent variables.