Find All Real Zeros of the Polynomial $f ( x ) = x ^ { 4 } - 80 x ^ { 2 } + 1024$

question 55

Multiple Choice

Find all real zeros of the polynomial $f ( x ) = x ^ { 4 } - 80 x ^ { 2 } + 1024$ and determine the mutiplicity of each.

• A) \(x = 64\), multiplicity \(2 ; x = 16\), multiplicity 2
• B) \(x = 8\), multiplicity \(2 ; x = 4\), multiplicity 2
• C) \(x = 64\), multiplicity \(2 ; x = 4\), multiplicity 1
• D) \(x = - 8\), multiplicity \(2 ; x = - 4\), multiplicity 2
• E) \(x = 8\), multiplicity \(1 ; x = - 8\), multiplicity \(1 ; x = 4\), multiplicity \(1 ; x = - 4\), multiplicity 1

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A U.S. state located in the north-central region of the country, known for its dairy production, diverse landscapes, and as the origin of the progressive movement.

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Early 20th-century reformers, primarily from the white middle class, who sought to address issues of social justice, labor rights, and government corruption.