An Equivalent Proposition of Eisenstein Discrimination Method

Eisentein Discrimination Method 1 to decide the irreducibility of the multinomial polynomial of integral coefficients is one of the main methods offered in higher algebra. As the condition given in Eisentein Method 1 is only a sufficient one, whether some multinomial polynomials are irreducible or not can’t be decided by this method. The equivalent proposition given here makes up the weakness of Eisenstein Method 1.