Use the Boundedness Theorem to Determine Whether the Polynomial Function $f ( x ) = x ^ { 4 } - x ^ { 3 } + 2 x ^ { 2 } - 4 x - 10$

question 428

Multiple Choice

Use the boundedness theorem to determine whether the polynomial function satisfies the given condition.
-The polynomial $f ( x ) = x ^ { 4 } - x ^ { 3 } + 2 x ^ { 2 } - 4 x - 10$ has no real zero less than $- 1$ .

• A) Yes, the boundedness theorem shows that the polynomial has no real zero less than \(- 1\).
• B) No, the boundedness theorem does not show that the polynomial has no real zero less than \(- 1\).

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Definitions:

RNA

Ribonucleic acid, a nucleic acid present in all living cells, playing a role in protein synthesis and the transmission of genetic information.

Polypeptide

An organic linear polymer comprised of numerous amino-acid residues linked in a sequence, which constitutes a portion of or an entire protein molecule.

MRNA

Messenger RNA, a type of RNA that carries genetic information from DNA to the ribosome, where proteins are synthesized.

Surface Area

The total area of the external layer or surface of an object or body, often relevant in processes such as absorption and evaporation.