Find the GCD if f(x), g(x) and LCM are given — task. Mathematics State Board, Class 10.

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Find the GCD of the polynomials

{z^{3} + 3 z}^{2} + 3 z + 2

z^{3} + {5 z}^{2} + 8 z + 4

and whose LCM is

z^{2} + 3 z + 2

Answer:

The GCD of the polynomial is:

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3. Find the GCD if f(x), g(x) and LCM are given