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

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) $\left( x ^ { 2 } + 9 \right) ( x + \sqrt { 3 } ) ( x + \sqrt { 3 } )$