Factor F(x) into Linear Factors Given That K Is a Zero

question 468

Multiple Choice

Factor f(x) into linear factors given that k is a zero of f(x) .
- $$f ( x ) = 10 x ^ { 3 } + 53 x ^ { 2 } + 49 x - 12 ; k = \frac { 1 } { 5 }$$

• A) \(( 5 x + 1 ) ( 2 x + 3 ) ( x - 4 )\)
• B) \(( 5 x - 1 ) ( 2 x + 3 ) ( x + 4 )\)
• C) \(( 5 x - 1 ) ( 2 x - 3 ) ( x - 4 )\)
• D) \(( 5 x + 1 ) ( 2 x + 1 ) ( x - 12 )\)

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Definitions:

Confidence Interval

A band of values, derived from empirical data, hypothesized to enfold the value of an unseen population parameter.

Prediction Interval

A range of values that is likely to contain the value of an unknown future observation within a specified confidence level.

Spread Residuals

The differences between observed values and the values predicted by a model, spread across the range of predicted values.

Confidence Interval

A range of values, derived from the sample data, that is believed to contain the true population parameter with a certain level of confidence.