Form a Polynomial F(x)with Real Coefficients Having the Given Degree $2 , - 3 i$

question 242

Multiple Choice

Form a polynomial f(x) with real coefficients having the given degree and zeros.
-Degree: 5; zeros: $2 , - 3 i$ , and $4 - i$

• A) \(f ( x ) = x ^ { 5 } - 10 x ^ { 4 } + 26 x ^ { 3 } - 124 x ^ { 2 } - 72 x - 306\)
• B) \(f ( x ) = x ^ { 5 } - 10 x ^ { 4 } + 42 x ^ { 3 } - 124 x ^ { 2 } + 297 x - 306\)
• C) \(f ( x ) = x ^ { 5 } - 10 x ^ { 4 } - 42 x ^ { 3 } - 124 x ^ { 2 } + 297 x + 306\)
• D) \(f ( x ) = x ^ { 5 } - 10 x ^ { 4 } + 26 x ^ { 3 } - 124 x ^ { 2 } + 72 x + 306\)

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Definitions:

Androcentric Cultures

Societies or cultural settings that prioritize male perspectives and experiences, often marginalizing female viewpoints.

Labeled

The action of assigning a name or category to someone or something, often in a simplifying or dismissive way.

Unreasonable

Lacking sound judgment; not guided by rational thinking or fairness.

Masochistic

Inclined towards masochism, which involves deriving pleasure, especially sexual gratification, from one's own pain or humiliation.