Let $p ( x ) = x ^ { 4 } - 10 x ^ { 3 } + 37 x ^ { 2 } - 60 x + 36$

question 46

Essay

Let $p ( x ) = x ^ { 4 } - 10 x ^ { 3 } + 37 x ^ { 2 } - 60 x + 36$ . Show that $p ( 2 ) = 0$ , and $p ( 3 ) = 0$ . Use this fact to find all the zeros of $p ( x )$ .

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Definitions:

Unconditional Affection

An affectionate feeling or action shown towards someone regardless of their actions or faults.

Conditional Affection

Affection or emotional support shown towards someone that is dependent on specific conditions or behaviors they exhibit.

Reaction Formation

A defense mechanism where an unacceptable impulse is transformed into its opposite, often in behavior and attitudes.

Defense Mechanism

A psychological strategy unconsciously used to protect a person from anxiety arising from unacceptable thoughts or feelings.