# Rational Zero Theorem

• January 29th 2009, 06:06 AM
AlgebraicallyChallenged
Rational Zero Theorem
Morning Forum does anyone have a opinions on the following question ?

If using the Rational Zero Theorem suggests that there are no positive or negative rational roots for a polynomial function of degree 4 with integer coefficients, must all the roots be irrational? Explain.
• January 29th 2009, 08:16 AM
running-gag
They may be complex
For instance $x^4+1=0$