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:

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False beliefs held with strong conviction despite superior evidence to the contrary, often found in psychological conditions.

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Persistent, unwanted thoughts that cause distress or anxiety.

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Repetitive behaviors or mental acts that a person feels driven to perform in response to an obsession or according to rules that must be rigidly applied.