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Posted: **Wed May 11, 2022 9:41 pm**

: Give An Example Of A A Polynomial F X E Z X And A Prime P Such That F X Is Reducible In Q X But Is Irreducible In Z 1 (28.33 KiB) Viewed 28 times

Give an example of a. A polynomial f(x) E Z[x] and a prime p such that f(x) is reducible in Q[x] but is irreducible in Zp [x] b. A polynomial g(x) E Z[x] such that g(x) is irreducible in Q[x] but factors in Z2[x], Z3[x], and Zs[x]