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What is the rational zero theorem?

Updated: 4/28/2022
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If a polynomial function, written in descending order, has integer coefficients, then any rational zero must be of the form ± p/q, where p is a factor of the constant term and q is a factor of the leading coefficient.

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Q: What is the rational zero theorem?
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Related questions

Who invented the rational zero theorem?

Possibly Descartes


Are you able to reduce the rational zero theorem?

yes


What is the rational root theroem?

In algebra, the rational root theorem (or rational root test, rational zero theorem or rational zero test) states a constraint on rational solutions (or roots) of a polynomialequationwith integer coefficients.If a0 and an are nonzero, then each rational solution x, when written as a fraction x = p/q in lowest terms (i.e., the greatest common divisor of p and q is 1), satisfiesp is an integer factor of the constant term a0, andq is an integer factor of the leading coefficient an.The rational root theorem is a special case (for a single linear factor) of Gauss's lemmaon the factorization of polynomials. The integral root theorem is a special case of the rational root theorem if the leading coefficient an = 1.


How do you find the two factors of one monomial and a polynomial?

1. Quadratic Formula 2. Rational Root Theorem 3. Zero Product Theorem


Who is the founder the rational root theorem?

Rene' Descartes is credited with founding rational root theorem. He also created the rules of signs to be used with solving equations.


Is zero a rational number but not an integer?

Zero is a rational number and an integer.


What are the release dates for Zero Theorem - 2010 SUSPENDED?

Zero Theorem - 2010 SUSPENDED was released on: USA: 2010


What actors and actresses appeared in Zero Theorem - 2010?

The cast of Zero Theorem - 2010 includes: Billy Bob Thornton


What is the Zero Theorem?

0=0


Is O a rational number?

A rational number can be expressed as a fraction or ratio of two integers. Zero is an integer. Therefore, zero is a rational number EXCEPT, that the denominator of a rational number cannot be zero. You can't divide by zero.


Is zero a rational or irratiional number?

It is rational.


What are the ratings and certificates for The Zero Theorem - 2013?

The Zero Theorem - 2013 is rated/received certificates of: Ireland:15A UK:15