Find the Zeros of the Polynomial Function and State the Multiplicity

question 357

Multiple Choice

Find the zeros of the polynomial function and state the multiplicity of each.
$f ( x ) = \left( x ^ { 2 } + x - 12 \right) ^ { 6 } ( x - 2 + \sqrt { 7 } ) ^ { 2 }$

• A) \(- 4,3 \text { (multiplicity 6), } 2 - \sqrt { 7 } \text { (multiplicity } 2 \text { ) }\)
• B) \(- 4,3 \text { (multiplicity 6), } 2 + \sqrt { 7 } \text { (multiplicity 2) }\)
• C) \(- 4 , - 3 \text { (multiplicity } 6 ) , - 2 - \sqrt { 7 } \text { (multiplicity } 2 \text { ) }\)
• D) \(4 , - 3 \text { (multiplicity } 6 \text { ), } 2 - \sqrt { 7 } \text { (multiplicity } 2 \text { ) }\)

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Definitions:

Bandura

Albert Bandura, a psychologist known for his work on social learning theory, which emphasizes the importance of observational learning, imitation, and modeling.

Immediate Reinforcement

The prompt delivery of a reward or consequence following a behavior, which increases the likelihood of that behavior being repeated.

Modeling

Modeling refers to the process of representing, simulating, or teaching behavior, skills, or processes by example.

Respondent Behavior

Behavior that occurs as a direct response to a specific stimulus without conscious thought.