Use the Boundedness Theorem to Determine Whether the Statement Is $f ( x ) = x ^ { 5 } + 10 x ^ { 4 } - 25 x ^ { 3 } - 10 x ^ { 2 } + 24 x$

question 343

True/False

Use the boundedness theorem to determine whether the statement is true or false.
-The polynomial $f ( x ) = x ^ { 5 } + 10 x ^ { 4 } - 25 x ^ { 3 } - 10 x ^ { 2 } + 24 x$ has no real zero greater than 3 .

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Definitions:

Craik Effect

A phenomenon where the depth of processing impacts memory recall; deeper processing leads to better retention.

Late Selection

A cognitive process theory suggesting that all incoming information is processed at a basic level before selective filtering happens based on its importance.

Early Selection

A theory in psychology suggesting that information is selected to be attended to at an early stage during the processing of sensory information.

Retroactive Interference

A memory phenomenon where newly learned information interferes with and impedes the recall of previously learned information.