Form a Polynomial F(x) with Real Coefficients Having the Given $2 \mathrm { i }$

question 67

Multiple Choice

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

• A) \(f ( x ) = x ^ { 4 } + 29 x ^ { 2 } + 100\)
• B) \(f ( x ) = x ^ { 4 } - 2 x ^ { 3 } + 29 x ^ { 2 } + 100\)
• C) \(f ( x ) = x ^ { 4 } + 29 x ^ { 2 } - 5 x + 100\)
• D) \(f ( x ) = x ^ { 4 } - 5 x ^ { 2 } + 100\)

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Definitions:

HBr

Hydrogen bromide, a diatomic molecule consisting of hydrogen and bromine, used as a reagent in many chemical reactions.

Synthetic Steps

The individual chemical reactions and procedures performed in sequence to synthesize a desired compound from simpler starting materials.

Transformation

In a scientific context, transformation refers to the process of change or conversion from one state, form, or property to another, often used in genetics, chemistry, and physics.

HBr

Hydrogen bromide, a diatomic molecule consisting of hydrogen and bromine, widely used in organic synthesis to add bromine across double bonds or to open epoxides.