Form a Polynomial F(x) with Real Coefficients Having the Given $1 , - 1$

question 199

Multiple Choice

Form a polynomial f(x) with real coefficients having the given degree and zeros.
-Degree: 4 ; zeros: $1 , - 1$ , and $4 - 2 \mathrm { i }$

• A) \(f ( x ) = x ^ { 4 } + 8 x ^ { 3 } + 16 x ^ { 2 } - 8 x + 17\)
• B) \(f ( x ) = x ^ { 4 } + 8 x ^ { 3 } + 16 x ^ { 2 } - 8 x - 17\)
• C) \(f ( x ) = x ^ { 4 } - 8 x ^ { 3 } + 16 x ^ { 2 } + 8 x + 17\)
• D) \(f ( x ) = x ^ { 4 } - 8 x ^ { 3 } + 16 x ^ { 2 } + 8 x - 17\)

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Definitions:

Amphibian Heart

A three-chambered heart found in amphibians, featuring two atria and one ventricle for circulation.

Circulatory System

The body system responsible for the transport of blood, nutrients, gases, and wastes to and from cells, facilitating the maintenance of internal homeostasis.

Internal Transportation

The movement or transfer of substances, energy, or information within an organism or physical system.

Metarterioles

Small blood vessels that directly link arterioles with veinules.