-1
$\begingroup$

Show that $X^5+X^3+1$ is irreducible over $\mathbb{Z}$ and $X^3+aX^2+bX+1$ is reducible iff $a=b$ or $a+b=-2$.

  • 3
    What do you mean "irregularly polynomial"? Perhaps you meant "irreducible polynomial"?2012-12-25
  • 0
    ok, sorry anyone2012-12-25
  • 0
    I think you might have the conditions on $X^3+aX^2+bx+1$ backwards - this polynomial is *reducible* iff $\dots$2012-12-25

2 Answers 2