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Question

Finding the square root of the polynomial 4x4+8x3+8x2+4x+1.

A
|2x2+2x+1|
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B
|2x2+2x1|
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C
|2x22x+1|
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D
|2x22x1|
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Solution

The correct option is A |2x2+2x+1|
2x2+2x+12x24x4+8x3+8x2+4x+1 4x4 4x2+2x 8x3+8x2 8x3+4x2 4x2+4x+1 4x2+4x+1 4x2+4x+1 0

Square root of 4x4+8x3+8x2+4x+1 is |2x2+2x+1|.

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