rational root theorem

短语

词形变化

the rational root theorem

释义与例句

name
  1. 1.

    A theorem which states a constraint on rational solutions of a polynomial equation with integer coefficients.

    数学

    The rational root theorem states that if the rational number p#47;q is a root of the polynomial equation a#95;nxⁿ#43;a#95;#123;n-1#125;x#123;n-1#125;#43;#92;cdots#43;a#95;0#61;0, with a#95;0,#92;ldotsa#95;n#92;in#92;mathbb#123;Z#125;, then p#92;verta#95;0 and q#92;verta#95;n.

    is irreducible over Q [x].