Form a Polynomial F(x) with Real Coefficients Having the Given $- 3 \mathrm { i }$

question 126

Multiple Choice

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

• 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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Trade

The action of buying, selling, or exchanging goods and services between people, businesses, countries, etc., often for money.

Resource Scarcity

The limited availability of natural resources, leading to constraints on production, consumption, and the ability to meet human needs and desires.

Opportunity Costs

The loss incurred by dismissing the subsequent preferable option in the course of decision-making or selecting one possibility over another.

Equilibrium

Equilibrium is a state in economics where market supply and demand balance each other, and as a result, prices become stable.