Is it possible to find a monic quadratic polynomial that

gaitaprepeted05u

gaitaprepeted05u

Answered question

2022-04-22

Is it possible to find a monic quadratic polynomial that factors in Z but not in Z3?

Answer & Explanation

potomakavkl

potomakavkl

Beginner2022-04-23Added 11 answers

No. If we had
x2+Ax+B=(x+a)(x+b)
over Z, then we'd have
x2+[A]x+[B]=(x+[a])(x+[b])
over Z3Z, where [x]=x+3Z is the quotient map.

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