Write the Polynomial as the Product of Factors That Are $\left( x ^ { 2 } + 9 \right) \left( x ^ { 4 } - 3 \right)$

question 38

Multiple Choice

Write the polynomial as the product of factors that are irreducible over the rationals. ?
F(x) = x⁴ + 6x² - 27
?

• A) \(\left( x ^ { 2 } + 9 \right) \left( x ^ { 4 } - 3 \right)\)
• B) \(\left( x ^ { 2 } + 9 \right) \left( x ^ { 2 } - 3 \right)\)
• C) \(( x + 9 ) \left( x ^ { 2 } - 3 \right)\)
• D) \(( x + 6 ) \left( x ^ { 2 } - 3 \right)\)
• E) \(\left( x ^ { 2 } + 9 \right) ( x + \sqrt { 3 } ) ( x + \sqrt { 3 } )\)

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Definitions:

Heterosexual And Homosexual

Terms describing sexual orientation; heterosexual refers to attraction to the opposite sex, while homosexual pertains to attraction to the same sex.

U.S. Doctors

Medical professionals who are licensed to practice medicine in the United States, including both MDs (Doctors of Medicine) and DOs (Doctors of Osteopathic Medicine).

Heterosexuality

A sexual orientation characterized by a romantic or sexual attraction to individuals of the opposite sex.

Katz

Likely refers to a specific individual or scholar, such as Jackson Katz, known for their work in gender studies, particularly around masculinity and media.