(a) In the ring Z[x], the following are primary decompositions: (4, 2x,x 2 ) = (4, x)...

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(a) In the ring Z[x], the following are primary decompositions:

(4, 2x,x2) = (4, x) n (2, x2);

(9,3x + 3) = (3) ∩ (9, x + 1).

(b) Are the primary decompositions of part (a) reduced?

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