rational root theorem

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rational root theorem

[′rash·ən·əl ‚rüt ‚thir·əm]
(mathematics)
The theorem that, if a rational number p / q, where p and q have no common factors, is a root of a polynomial equation with integral coefficients, then the coefficient of the term of highest order is divisible by q and the coefficient of the term of lowest order is divisible by p.
References in periodicals archive ?
If P is of odd degree, it has a rational root [alpha].
Rational quotients of two linear forms in roots of a polynomial
In the senior secondary years, when students extend their study to polynomial functions, they come across the rational root theorem (see www.
On Vieta's formulas and the determination of a set of positive integers by their sum and product
Yet, her struggle continued, for she was constantly targeted for reasons which had no rational roots and judgment.
Hajia Marzia - a political inspiration from Kargil
He accepted only positive rational roots and ignored all others.
Beautiful algebra
Current research in decision-making has taken a departure from its purely rational roots (Dawes, 1988; Kahneman, Slovic & Tversky, 1982).
Balancing intuition and reason: tuning in to indecision
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