Completely Factor the Polynomial or State That the Polynomial Is $15 x ^ { 4 } + 29 x ^ { 2 } + 12$

question 176

Multiple Choice

Completely factor the polynomial or state that the polynomial is prime.
- $15 x ^ { 4 } + 29 x ^ { 2 } + 12$

• A) \(\left( 3 x ^ { 2 } + 4 \right) \left( 5 x ^ { 2 } + 3 \right)\)
• B) \(\left( 15 x ^ { 2 } + 4 \right) \left( x ^ { 2 } + 3 \right)\)
• C) \(\left( 3 x ^ { 2 } + 1 \right) \left( 5 x ^ { 2 } + 12 \right)\)
• D) \(\left( 5 x ^ { 2 } - 3 \right) \left( 3 x ^ { 2 } - 4 \right)\)

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Definitions:

Scatterplot

A graph in which the values of two variables are plotted along two axes, the pattern of the resulting points revealing any correlation present.

Linear Relationship

A relationship between two variables where the change in one variable is directly proportional to the change in another.

Residuals

The differences between observed values and the values predicted by a model, used to evaluate the model's accuracy.

Homoscedasticity

Homoscedasticity refers to a condition in regression analysis where the variance of the error terms (residuals) is constant across all levels of an independent variable, indicating uniform dispersion of data points.