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Write the Polynomial x47x28x ^ { 4 } - 7 x ^ { 2 } - 8

Question 9

Multiple Choice

Write the polynomial x47x28x ^ { 4 } - 7 x ^ { 2 } - 8 as the product of factors that are irreducible over the rationals.


A) (x28) (x21) \left( x ^ { 2 } - 8 \right) \left( x ^ { 2 } - 1 \right)
B) (x28) (x2+1) \left( x ^ { 2 } - 8 \right) \left( x ^ { 2 } + 1 \right)
C) (x2+8) (x2+1) \left( x ^ { 2 } + 8 \right) \left( x ^ { 2 } + 1 \right)
D) (x2+8) (x21) \left( x ^ { 2 } + 8 \right) \left( x ^ { 2 } - 1 \right)
E) (x27) (x21) \left( x ^ { 2 } - 7 \right) \left( x ^ { 2 } - 1 \right)

Correct Answer:

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