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The Rational Roots Test (also known as Rational Zeros Theorem) allows us to find all possible rational roots of a polynomial. Suppose [latex]a[/latex] is root of the polynomial [latex]P\left( x \right)[/latex] that means [latex]P\left( a \right) = 0[/latex].
The Rational Roots Test (or Rational Zeroes Theorem) is a handy way of obtaining a list of useful first guesses when you are trying to find the zeroes (or roots) of a polynomial.
In algebra, the rational root theorem (or rational root test, rational zero theorem, rational zero test or p/q theorem) states a constraint on rational solutions of a polynomial equation + + + = with integer coefficients and ,.
The rational root theorem (rational zero theorem) is used to find the rational roots of a polynomial function. By this theorem, the rational zeros of a polynomial are of the form p/q where p and q are the coefficients of the constant and leading coefficient.
Also known as the rational zero theorem, the rational root theorem is a powerful mathematical tool used to find all possible rational roots of a polynomial equation of the order 3 and above. The rational root theorem says that if there are rational roots, they will be one of the following:
Use the Rational Roots Test to find all possible rational zeroes of 6x 4 − 11x 3 + 8x 2 − 33x − 30.
This lesson will inform you how to find all of the rational roots (zeros) of a polynomial. Here are the sections within this lesson: Roots versus Zeros; The Rational Root Theorem; Finding Possible Rational Roots of a Polynomial; Finding Actual Rational Roots of a Polynomial; Instructional Videos; Related Lessons