is one of the prime factors of the polynomial
The question implies that we determine one of the prime factors of the polynomial.
The polynomial is given as:
Expand the polynomial by adding 0's in the form of +a - a
Rearrange the terms
Factorize the expression
Factor out x^6-2x^5+2x^3-3x^2+2x-1
Express x^2 + 2x + 1 as a perfect square
Expand the polynomial by adding 0's in the form of +a - a
Rearrange the terms
Factorize the expression
Factor out x^3-2x^2+x-1
One of the factors of the above polynomial is .
This is the same as the option (c)
Hence, is one of the prime factors of the polynomial
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