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Find All the Zeros of the Function and Write the Polynomial

Question 61

Multiple Choice

Find all the zeros of the function and write the polynomial as a product of linear factors. x4+32x2+256x ^ { 4 } + 32 x ^ { 2 } + 256


A) 4i,4i;(x+4i) (x+4i) (x+4i) (x+4i) 4 i , 4 i ; ( x + 4 i ) ( x + 4 i ) ( x + 4 i ) ( x + 4 i )
B) ±4,±4i;(x+4) (x4) (x+4i) (x4i) \pm 4 , \pm 4 i ; ( x + 4 ) ( x - 4 ) ( x + 4 i ) ( x - 4 i )
C) ±4i,±4;(x+4i) (x4i) (x+4) (x4) \pm 4 i , \pm 4 ; ( x + 4 i ) ( x - 4 i ) ( x + 4 ) ( x - 4 )
D) 4i,4i;(x4i) (x4i) (x4i) (x4i) - 4 i , - 4 i ; ( x - 4 i ) ( x - 4 i ) ( x - 4 i ) ( x - 4 i )
E) ±4i,±4i;(x+4i) (x4i) (x+4i) (x4i) \pm 4 i , \pm 4 i ; ( x + 4 i ) ( x - 4 i ) ( x + 4 i ) ( x - 4 i )

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