A Polynomial F ( X ) with Real Coefficients and Leading

question 1

Multiple Choice

A polynomial f ( x ) with real coefficients and leading coefficient 1 has the given zeros and degree. Express f ( x ) as a product of linear and quadratic polynomials with real coefficients that are irreducible over R. $4 + 1 i , - 9 + i \text {; degree } 4$

• A) \(\left( x ^ { 2 } - 8 x + 17 \right) \left( x ^ { 2 } + 18 x + 82 \right)\)
• B) \(\left( x ^ { 2 } - 8 x + 16 \right) \left( x ^ { 2 } + 18 x + 81 \right)\)
• C) \(\left( x ^ { 2 } - 8 x + 81 \right) \left( x ^ { 2 } + 18 x + 17 \right)\)
• D) \(\left( x ^ { 2 } - 8 x + 17 \right) \left( x ^ { 2 } + 18 x + 16 \right)\)
• E) \(\left( x ^ { 2 } - 8 x + 16 \right) \left( x ^ { 2 } + 18 x + 82 \right)\)

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Definitions:

Minority Consistency

A minority group's unwavering stance on issues, which can influence the majority under certain conditions in social psychology.

Unmotivated

Lacking the drive or motivation to complete tasks or engage in activities.

Flexible Style

Pertains to an adaptable approach or method in actions or thinking, allowing for adjustments according to circumstances.

Majority/Minority Influential Differences

The differing impacts that majority and minority groups can have on influencing opinions, behaviors, and societal norms.