Find All Rational Zeros and Factor F(x) $$f ( x ) = x ^ { 3 } + 4 x ^ { 2 } - 27 x - 90$$

question 484

Multiple Choice

Find all rational zeros and factor f(x) .
- $$f ( x ) = x ^ { 3 } + 4 x ^ { 2 } - 27 x - 90$$

• A) \(4,6 , - 10 ; f ( x ) = ( x - 4 ) ( x - 6 ) ( x + 10 )\)
• B) \(- 4 , - 6,10 ; f ( x ) = ( x + 4 ) ( x + 6 ) ( x - 10 )\)
• C) \(- 3 , - 6,5 ; f ( x ) = ( x + 3 ) ( x + 6 ) ( x - 5 )\)
• D) \(3,6 , - 5 ; f ( x ) = ( x - 3 ) ( x - 6 ) ( x + 5 )\)

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Definitions:

Optimal

Optimal describes the most desirable or advantageous condition or level of performance achievable under given circumstances.

Ranking Items

A method used to sort or prioritize items, tasks, or options based on specific criteria.

Criterion

A standard or principle by which something is judged or decided.

Heuristics

Mental shortcuts or rules of thumb that simplify decision making.