1.10.19 Polynomials

Condition: using the Euclidean algorithm, choose polynomes \ (m_ {1} (x) \) and \ (m_ {2} (x) \) so that \ (f_ {1} (x) m_ {2}+f_ {2} (x) m_ {1} = \ delta (x), \ QUAD \) where \ (\ delta (x)-\) the largest common divider \ (f_ {1} (x) \) and \ (f_ {2} (x) \) \ [f_ {1} (x) = x^{4} +2 x^{3} -x^{2} -4 x-2, \] \ [[ F_ {2} (x) = x^{4}+x^{3} -x^{2} -2 x-2 \]