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. $x ^ { 4 } + 32 x ^ { 2 } + 256$

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

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Definitions:

Patella

The patella, commonly known as the kneecap, is a small bone located in front of the knee joint, within the tendon of the quadriceps muscle, and it protects the knee joint.

Frontal

Pertaining to the forehead or the anterior part of the brain.

Maxilla

The upper jaw bone in vertebrates that forms the major portion of the face, involved in forming the boundaries of the mouth and nasal cavity.

Zygomatic

Pertaining to the zygomatic bone or zygoma, which is a part of the skull that forms the prominence of the cheek.