How does the rational root theorem work

The rational root or rational zero test theorem states that f ( x) will only have rational roots p q if the leading coefficient, i.e., a n, is divisible by the denominator of the fraction p q and the last coefficient, i.e., a o, is divisible by the numerator of fraction p q.Finding a polynomial's zeros using the rational root theorem.One starts with the test to find and remove all the easy factors.The rational root theorem describes a relationship between the roots of a polynomial and its coefficients.This method could be used when factor by grouping does not work.#.

A series of college algebra lectures:Scroll down the page for more examples and solutions on using the rational root theorem or rational zero theorem.It's helpful for finding roots in the field of fractions of a ring.The analogous abstract tools juggled in high school algebra 2 are rational zero test, descartes' rule of signs, degree and parity of degree, sign of leading coefficient, factor theorem for intercepts, synthetic division, bound theorem for roots, conjugate pair theorem, etc.The rational root theorem is used in math to find the possible rational roots of a polynomial function, most specifically when the function is not factorable.

Write down all possible fractions where the numerator is a factor of the constant term, and the denominator is a factor of the leading coefficient.These rational roots can also be.