Use Descartes's Rule of Signs to Determine the Possible Number $$f ( x ) = x ^ { 5 } - 3.2 x ^ { 4 } - 19.58 x ^ { 3 } + 3 x ^ { 2 } + 49.21 x - 13.538$$

question 83

Multiple Choice

Use Descartes's Rule of Signs to determine the possible number of positive and negative real zeros for the given
function.
- $$f ( x ) = x ^ { 5 } - 3.2 x ^ { 4 } - 19.58 x ^ { 3 } + 3 x ^ { 2 } + 49.21 x - 13.538$$

• A) 3 or 1 positive zeros, 2 or 0 negative zeros
• B) 2 or 0 positive zeros, 2 or 0 negative zeros
• C) 3 or 1 positive zeros, 3 or 1 negative zeros
• D) 2 or 0 positive zeros, 3 or 1 negative zeros

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Definitions:

Blastocyst

A structure formed in the early development of mammals, consisting of an inner cell mass and an outer layer of trophoblast cells, which implants into the uterine wall.

Pronuclei

The nuclei of the sperm and egg before they fuse in fertilization, each containing a single set of chromosomes from the respective parent.

Diploid

Normal number of chromosomes (in humans, 46 chromosomes) in somatic cells.

Chromosomes

Long strands of DNA wrapped around proteins, located in the cell nucleus, which carry genetic information.