Use Descartes' Rule of Signs to Determine the Possible Number $f ( x ) = 4 x ^ { 3 } + 3 x ^ { 2 } + 5 x + 1$

question 439

Multiple Choice

Use Descartes' Rule of Signs to determine the possible number of positive and negative zeros of $f ( x ) = 4 x ^ { 3 } + 3 x ^ { 2 } + 5 x + 1$ .

• A)3 positive reals or 1 positive real; 3 negative reals or 1 negative real
• B)3 positive reals or 1 positive real; no negative reals
• C)0 positive real; 3 negative reals or 1 negative real
• D)1 positive real; 3 negative reals or 1 negative real
• E)no positive reals; no negative reals

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Definitions:

Major

The term usually refers to the most abundant or significant product, component, or outcome in a chemical reaction or process.

Structure

The arrangement or organization of something, particularly atoms in molecules or compounds in chemistry.

Reaction

The process by which one or more substances are transformed into different substances with distinct physical and chemical properties.

Organic Product(s)

Chemical compounds consisting of carbon that are produced as the outcomes of organic reactions.