Answer variants:
\(x^2 - 3x + 4\)
\(x^3 - x^2 + x - 2\)
\(x^4 - 3x^2 + 4x - 3\)
\(x^4 - x^3 + x - 1\)
Given the LCM and GCD of the two polynomials \(p(x)\) and \(q(x)\). Identify the unknown polynomial in the following table.
| LCM | GCD | \(p(x)\) | \(q(x)\) |
| \(x^6 - 1\) | \(x - 1\) | \(x^3 - 1\) |