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Write the Function as a Product of Linear and Irreducible f(x)=x4−4x3−11x2−4x−12f ( x ) = x ^ { 4 } - 4 x ^ { 3 } - 11 x ^ { 2 } - 4 x - 12

Question 477

Multiple Choice

Write the function as a product of linear and irreducible quadratic factors, all with real coefficients.
- f(x) =x4−4x3−11x2−4x−12f ( x ) = x ^ { 4 } - 4 x ^ { 3 } - 11 x ^ { 2 } - 4 x - 12


A) (x−6) (x−2) (x2+1) ( x - 6 ) ( x - 2 ) \left( x ^ { 2 } + 1 \right)
B) (x−6) (x+2) (x2+1) ( x - 6 ) ( x + 2 ) \left( x ^ { 2 } + 1 \right)
C) (x+6) (x+2) (x2+1) ( x + 6 ) ( x + 2 ) \left( x ^ { 2 } + 1 \right)
D) (x−6) 2(x2+1) ( x - 6 ) ^ { 2 } \left( x ^ { 2 } + 1 \right)

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