What Is The Rational Root Theorem

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Rational root theorem

Rational Root Theorem

The rational root theorem is a special case for a single linear factor of Gauss s lemma on the factorization of polynomials The integral root theorem is the special case of the rational root theorem when the leading coefficient is an 1 Application The theorem is used to find all rational roots of a polynomial if any The rational root theorem, or zero root theorem, is a technique allowing us to state all of the possible rational roots, or zeros, of a polynomial function. We learn the theorem and see how it can be used to find a polynomial's zeros. Tutorials, examples and exercises that can be downloaded are used to illustrate this theorem.

Ppt rational root and complex conjugates theorem powerpoint

PPT Rational Root And Complex Conjugates Theorem PowerPoint

What Is The Rational Root TheoremThe rational root theorem describes a relationship between the roots of a polynomial and its coefficients. Specifically, it describes the nature of any rational roots the polynomial might possess. Let's work through some examples followed by problems to try yourself. The rational root theorem as its name suggests is used to find the rational solutions of a polynomial equation or zeros or roots of a polynomial function The solutions derived at the end of any polynomial equation are known as roots or zeros of polynomials