Find All Real Zeros of the Polynomial $f ( x ) = x ^ { 4 } + 13 x ^ { 3 } + 40 x ^ { 2 }$

question 89

Multiple Choice

Find all real zeros of the polynomial $f ( x ) = x ^ { 4 } + 13 x ^ { 3 } + 40 x ^ { 2 }$ and determine the mutiplicity of each.

• A) \(x = 0\), multiplicity \(2 ; x = - 8\), multiplicity \(1 ; x = - 5\), multiplicity 1
• B) \(\quad x = 8\), multiplicity \(2 ; x = 5\), multiplicity 2
• C) \(x = 0\), multiplicity \(2 ; x = 8\), multiplicity \(1 ; x = 5\), multiplicity 1
• D) \(x = - 8\), multiplicity \(2 ; x = - 5\), multiplicity 2
• E) \(\quad x = 0\), multiplicity \(1 ; x = 8\), multiplicity \(1 ; x = - 8\), multiplicity \(1 ; x = 5\), multiplicity 1

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Definitions:

Homozygous Dominant

A genetic condition where an individual has two identical dominant alleles for a particular trait.

Heterozygous

Having different allelic genes at one or more paired loci in homologous chromosomes.

Puberty

A stage of development in which the body undergoes physical growth and sexual maturation, leading to reproductive maturity.

Emotional Upheaval

A state of intense emotional disturbance or disorder, often characterized by rapid and strong emotional changes.