Write the Polynomial as the Product of Linear and Quadratic $\left( x ^ { 2 } + 49 \right) ( x + \sqrt { 7 } ) ( x - 7 )$

question 14

Multiple Choice

Write the polynomial as the product of linear and quadratic factors that are irreducible over the reals. ?
F(x) = x⁴ + 42x² - 343
?

• A) \(\left( x ^ { 2 } + 49 \right) ( x + \sqrt { 7 } ) ( x - 7 )\)
• B) \(\left( x ^ { 2 } + 49 \right) ( x + \sqrt { 7 } ) ( x + \sqrt { 7 } )\)
• C) \(\left( x ^ { 2 } + 49 \right) ( x - \sqrt { 7 } ) ( x - \sqrt { 7 } )\)
• D) \(\left( x ^ { 2 } + 49 \right) ( x + \sqrt { 7 } ) ( x - \sqrt { 7 } )\)
• E) \(\left( x ^ { 2 } + 49 \right) ( x + 7 ) ( x - \sqrt { 7 } )\)

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