Find All Real Zeros of the Polynomial $p ( x ) = - x ^ { 6 } + 10 x ^ { 4 } - 25 x ^ { 2 }$

question 37

Essay

Find all real zeros of the polynomial $p ( x ) = - x ^ { 6 } + 10 x ^ { 4 } - 25 x ^ { 2 }$ . Sketch the graph of $p$ .

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Definitions:

Hormones

Chemical messengers produced by glands in the body, which regulate various biological processes including growth, metabolism, and reproduction.

Endocrine Glands

Organs that secrete hormones directly into the bloodstream to regulate various functions in the body.

Gonads

The reproductive organs in animals and humans that produce gametes; ovaries in females and testes in males.

Pituitary Glands

Small endocrine glands at the base of the brain that regulate growth, metabolism, and reproductive functions.