Give All Possible Rational Zeros for the Following Polynomial $$P ( x ) = - 2 x ^ { 4 } + 5 x ^ { 3 } + 3 x ^ { 2 } + 18$$

question 316

Multiple Choice

Give all possible rational zeros for the following polynomial.
- $$P ( x ) = - 2 x ^ { 4 } + 5 x ^ { 3 } + 3 x ^ { 2 } + 18$$

• A) \(\pm 1 , \pm 2 , \pm \frac { 1 } { 2 } , \pm \frac { 1 } { 3 } , \pm \frac { 1 } { 6 } , \pm \frac { 1 } { 9 } , \pm \frac { 1 } { 18 }\)
• B) \(\pm 1 , \pm 2 , \pm 3 , \pm 6 , \pm 9 , \pm 18\)
• C) \(\pm 1 , \pm \frac { 1 } { 2 } , \pm 2 , \pm 3 , \pm \frac { 3 } { 2 } , \pm 6 , \pm 9 , \pm \frac { 9 } { 2 } , \pm 18\)
• D) \(\pm 1 , \pm \frac { 1 } { 2 } , \pm 2 , \pm 3 , \pm 6 , \pm 9 , \pm 18\)

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Definitions:

Ovum

The female reproductive cell or egg that, when fertilized by a sperm, can develop into a new organism.

Chromosomes

Rod-shaped structures in the nuclei of body cells, which contain all the genes and carry all the genetic information necessary to make a human being.

Monozygotic Twins

Twins who are genetically identical, resulting from the splitting of a single fertilized egg.

Genetically Identical

Describes organisms, such as twins or cells, that have exactly the same DNA.