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

question 132

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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