Word Pronunciation & Dictionary

rational root theorem

Word Rarity Rare

Frequency: Zipf frequency 3.49 in modern English

Syllables: ra-tio-nal -root the-o-rem
IPA

24

Scrabble Score

19

Letters

6

Syllables

10

Unique Chars

Meaning

name

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

Example Sentences

"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."

Inflected Forms

the rational root theorem (canonical)

Synonyms

rational root test rational zeros theorem rational zeros test p/q theorem

Questions

What does rational root theorem mean?: A theorem which states a constraint on rational solutions of a polynomial equation with integer coefficients.

How to pronounce rational root theorem

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