Find a Polynomial of Degree 3 with Real Coefficients That $- 5$

question 361

Multiple Choice

Find a polynomial of degree 3 with real coefficients that satisfies the given conditions.
-Zero of $- 5$ having multiplicity 2 and zero of 10 having multiplicity $1 ; P ( 0 ) = - 250$

• A) \(P ( x ) = x ^ { 3 } - 2 x ^ { 2 } - 8 x - 250\)
• B) \(P ( x ) = x ^ { 3 } - 75 x - 250\)
• C) \(P ( x ) = x ^ { 3 } - 75 x ^ { 2 } - 250\)
• D) \(P ( x ) = x ^ { 3 } + x ^ { 2 } - 75 x - 250\)

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Definitions:

Functioning

The way in which something operates or works; can refer to individuals, systems, or machinery.

Phobic Disorders

Psychological disorders characterized by an intense, irrational fear of specific objects, situations, or activities that pose little to no actual danger.

Extreme Anxiety

A heightened state of fear, worry, or nervousness that is significantly more intense than the typical responses to stress.

External Stimuli

Any information or changes in the environment outside the organism that lead to a response.