Write the Polynomial $x ^ { 4 } - 6 x ^ { 2 } - 72$

question 58

Multiple Choice

Write the polynomial $x ^ { 4 } - 6 x ^ { 2 } - 72$ as the product of linear and quadratic factors that are irreducible over the reals.

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

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