Meaning of rational root theorem | Babel Free

Definitions

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

Equivalents

Examples

“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].”

“We demonstrate how to use the rational root theorem to prove the irrationality of many numbers.”

“The rational root theorem has you create a list of possible rational roots using the lead coefficient and constant in the polynomial equation.”

CEFR level