Rational Zeros Calculator: Find Polynomial Roots & Possible Rational Zeros

Calculate Possible Rational Zeros

Input coefficients like an, an-1, ..., a1, a0.

Discover all possible rational zeros of any polynomial with our free Rational Zeros Calculator. This essential algebra tool simplifies finding roots using the Rational Root Theorem, helping you factor polynomials and solve complex equations efficiently. Quickly verify your solutions and deepen your understanding of polynomial behavior.

Formula:

The Rational Root Theorem states that if a polynomial P(x) = anxn + an-1xn-1 + ... + a1x + a0 has rational roots p/q, then:

Possible Rational Zeros = ± (Factors of a0) / (Factors of an)

Where:
a0: The constant term of the polynomial.
an: The leading coefficient of the polynomial (coefficient of the highest degree term).

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