Find All the Rational Zeros of the Function $f ( x ) = 3 x ^ { 4 } - 16 x ^ { 3 } - 59 x ^ { 2 } + 400 x - 400$

question 45

Multiple Choice

Find all the rational zeros of the function $f ( x ) = 3 x ^ { 4 } - 16 x ^ { 3 } - 59 x ^ { 2 } + 400 x - 400$ .

• A) \(x = - 4,5 , - 5 , - \frac { 3 } { 4 }\)
• B) \(x = 3 , - 20,5\)
• C) \(x = 4,5 , - 5 , \frac { 4 } { 3 }\)
• D) \(x = - \frac { 4 } { 5 } , \frac { 5 } { 3 } , \frac { 4 } { 3 } , - 5\)
• E) \(x = 3 , - 20 , \frac { 5 } { 3 } , \frac { 4 } { 3 }\)

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Definitions:

Lactose

A sugar present in milk and dairy products, consisting of glucose and galactose units.

Transcription

The process by which the information in a strand of DNA is copied into a new molecule of messenger RNA (mRNA).

Allosteric Site

A region on an enzyme that binds to molecules in the cell, resulting in a change in the enzyme's activity; not the active site where substrate molecules bind.

Tryptophan Operon

A segment of DNA in bacteria that regulates the production of tryptophan by switching the genes responsible for its synthesis on or off.