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Meaning of rational root theorem | Babel Free

Noun CEFR C1

Definitions

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

Equivalents

Deutsch Satz über rationale Nullstellen
Español teorema de la raíz racional teorema de las raíces racionales teorema de los ceros racionales
Français théorème de la racine rationnelle théorème des racines rationnelles théorème du zéro rationnel
Italiano teorema delle radici razionali
Português teorema das raízes racionais teorema do zero racional

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

C1
Advanced
This word is part of the CEFR C1 vocabulary — advanced level.

See also

rational selfishness rational symptom Rationale rationale, logic Rationales rationalia

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