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Write the Polynomial as the Product of Linear and Quadratic (x2+49)(x+7)(x7)\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) (x2+49) (x+7) (x7) \left( x ^ { 2 } + 49 \right) ( x + \sqrt { 7 } ) ( x - 7 )
B) (x2+49) (x+7) (x+7) \left( x ^ { 2 } + 49 \right) ( x + \sqrt { 7 } ) ( x + \sqrt { 7 } )
C) (x2+49) (x7) (x7) \left( x ^ { 2 } + 49 \right) ( x - \sqrt { 7 } ) ( x - \sqrt { 7 } )
D) (x2+49) (x+7) (x7) \left( x ^ { 2 } + 49 \right) ( x + \sqrt { 7 } ) ( x - \sqrt { 7 } )
E) (x2+49) (x+7) (x7) \left( x ^ { 2 } + 49 \right) ( x + 7 ) ( x - \sqrt { 7 } )

Correct Answer:

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