Find All the Zeros of the Function and Write the Polynomial

question 98

Multiple Choice

Find all the zeros of the function and write the polynomial as a product of linear fac- tors.
$x ^ { 4 } + 29 x ^ { 2 } + 100$

• A) \(\pm 5 i , \pm 2 ; ( x + 5 i ) ( x - 5 i ) ( x + 2 ) ( x - 2 )\)
• B) \(\pm 5 i , \pm 2 i ; ( x + 5 i ) ( x - 5 i ) ( x + 2 i ) ( x - 2 i )\)
• C) \(- 5 i , - 2 i ; ( x - 5 i ) ( x - 5 i ) ( x - 2 i ) ( x - 2 i )\)
• D) \(5 i , 2 i ; ( x + 5 i ) ( x + 5 i ) ( x + 2 i ) ( x + 2 i )\)
• E) \(\pm 5 , \pm 2 i ; ( x + 5 ) ( x - 5 ) ( x + 2 i ) ( x - 2 i )\)

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