Five mark exercise problems II — task. Mathematics State Board, Class 10.

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Find the GCD of the following by division algorithm \(2x^4 + 13x^3 + 27x^2 + 23x + 7\), \(x^3 + 3x^2 + 3x + 1\), \(x^2 + 2x + 1\)

Answer:

The GCD is:

\(x^3 + 3x^2 + 3x + 1\)
\(2x^4 + 13x^3 + 27x^2 + 23x + 7\)
\(x^2 + 2x + 1\)

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