Find All the Rational Zeros of the Function $f ( x ) = 2 x ^ { 4 } - 9 x ^ { 3 } - 41 x ^ { 2 } + 225 x - 225$

question 117

Multiple Choice

Find all the rational zeros of the function $f ( x ) = 2 x ^ { 4 } - 9 x ^ { 3 } - 41 x ^ { 2 } + 225 x - 225$ .

• A) \(x = - 3,5 , - 5 , - \frac { 2 } { 3 }\)
• B) \(x = 2 , - 15,5\)
• C) \(x = 3,5 , - 5 , \frac { 3 } { 2 }\)
• D) \(x = - \frac { 3 } { 5 } , \frac { 5 } { 2 } , \frac { 3 } { 2 } , - 5\)
• E) \(x = 2 , - 15 , \frac { 5 } { 2 } , \frac { 3 } { 2 }\)

---

Definitions:

Homozygous Dominant

A genetic condition where an individual has two dominant alleles of a particular gene, resulting in the expression of the dominant trait.

Homozygous Recessive

A genetic condition where an individual has two copies of a recessive allele for a particular trait.

Genetic Drift

A mechanism of evolution that involves random changes in the frequency of alleles within a population across generations.

Allele Frequencies

The proportion of all copies of a gene in a particular population that are of a given allele type.