Use Descartes' Rule of Signs to Determine the Possible Number

question 21

Multiple Choice

Use Descartes' Rule of Signs to determine the possible number of positive and negative zeros of f(x) = 6x³ - 5x² + 6x - 6.

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

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Definitions:

Genetic Screening

The process of testing individuals for the presence of specific genes or genetic mutations that may lead to disease, often used for early detection of genetic disorders.

Single Gene Mutations

Alterations in the DNA sequence of a single gene, which can lead to changes in protein structure and function, potentially causing genetic disorders.

Chromosomal Abnormalities

Deviations from the normal karyotype in either the structure or number of chromosomes, which can lead to developmental or health issues.

Cystic Fibrosis

A genetic disorder affecting mostly the respiratory and digestive systems, characterized by thick, sticky mucus that can lead to respiratory infections.