Let $p ( x ) = - x ^ { 3 } - 3 x ^ { 2 } + 33 x + 35$

question 75

Essay

Let $p ( x ) = - x ^ { 3 } - 3 x ^ { 2 } + 33 x + 35$ . Show that $p ( - 1 ) = 0$ , and use this fact to find all the zeros of $p ( x )$ .  

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Definitions:

Enema

A procedure involving the introduction of liquid into the rectum and colon to induce bowel movement or for diagnostic purposes.

Narcotic

A class of drugs that affect mood or behavior and are often used for pain relief, but can also lead to dependence or abuse.

Ointment

A semi-solid preparation applied topically to the skin or mucous membranes for therapeutic reasons.

Parenteral

Any medical therapy administered in a way other than through the digestive system, commonly including injections through intravenous, intramuscular, or subcutaneous methods.