Use the Boundedness Theorem to Determine Whether the Polynomial Function $f ( x ) = x ^ { 5 } - 5 x ^ { 3 } + 4 x$

question 458

Multiple Choice

Use the boundedness theorem to determine whether the polynomial function satisfies the given condition.
-The polynomial f(x) $f ( x ) = x ^ { 5 } - 5 x ^ { 3 } + 4 x$ 4x has no real zero greater than 2.

• A) Yes, the boundedness theorem shows that the polynomial has no real zero greater than 2.
• B) No, the boundedness theorem does not show that the polynomial has no real zero greater than 2.

---

Definitions:

Chorion

The outermost fetal membrane in many vertebrates, including humans, contributing to the formation of the placenta.

Amnion

A thin but tough sac of membrane that encloses the embryo or fetus in the uterus, containing the amniotic fluid.

Allantois

An embryonic membrane involved in gas exchange and waste removal in the development of the embryo.

Spermatogenesis

The process of sperm cell development, occurring in the seminiferous tubules of the testes.