Write the Function as a Product of Linear and Irreducible $$f ( x ) = 3 x ^ { 3 } - 20 x ^ { 2 } - 6 x - 7$$

question 368

Multiple Choice

Write the function as a product of linear and irreducible quadratic factors, all with real coefficients.
- $$f ( x ) = 3 x ^ { 3 } - 20 x ^ { 2 } - 6 x - 7$$

• A) \(( x + 7 ) \left( 3 x ^ { 2 } + x + 1 \right)\)
• B) \(( x - 7 ) \left( 2 x ^ { 2 } + x + 1 \right)\)
• C) \(( x - 7 ) \left( 3 x ^ { 2 } + 2 x - 1 \right)\)
• D) \(( x - 7 ) \left( 3 x ^ { 2 } + x + 1 \right)\)

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Definitions:

Negation

The logical operation that takes a proposition to its opposite in truth value, from true to false and vice versa.

Event

An occurrence or happening, particularly one of significance, that can be distinctly identified in time and space.

Probability

The quantification of the chances that a specific event will take place.

Disjunction

A logical operation that yields truth if at least one of its operands is true; often represented by the word "or".