Use the Rational Root Theorem and the Factor Theorem to Help

question 75

Multiple Choice

Use the rational root theorem and the factor theorem to help solve the equation. x ³ - 3 x ² + x - 3 = 0

• A) \(\{ 3 , \pm i \}\)
• B) \(\{ 3,3 , \pm i \}\)
• C) \(\{ 2 , \pm i \}\)
• D) \(\{ 2,3 , \pm i \}\)
• E) \(\{ 4 , \pm 2 i \}\)

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Definitions:

Classification Scheme

A system for organizing data or concepts into categories based on shared characteristics.

Mutually Exclusive

This term refers to situations where two conditions cannot both be true at the same time. For example, a light switch cannot be both on and off simultaneously.

Consistent Principle

A rule or standard that is applied uniformly and reliably over time or across situations, without contradictions.

Jointly Exhaustive

A set of options or propositions is considered jointly exhaustive when it covers all possible scenarios or outcomes, leaving no possibility unaddressed.