UPSKILL MATH PLUS
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Given the LCM and GCD of the two polynomials \(p(x)\) and \(q(x)\). Find the unknown polynomial in the following table.
S. No | LCM | GCD | \(p(x)\) | \(q(x)\) |
(i) | \(a^3 - 10a^2 + 11a + 70\) | \(a - 7\) | \(a^2 - 12a + 35\) | |
(ii) | \((x^4 - y^4)(x^4 + x^2y^2 + y^4)\) | \(x^2 - y^2\) | \((x^4 - y^4)(x^2 + y^2 - xy)\) |