Search results
Welcome to the rational zeros calculator! It helps you perform the rational root test, that is, listing all possible rational zeros of an integer-coefficient polynomial. The calculator does it with help of the rational root theorem to accurately find the rational zeros of your polynomial.
Our Rational Zeros Theorem Calculator is a great tool to simplify finding the potential rational zeros for a polynomial function. With powerful algorithms under its hood, this calculator efficiently computes all potential and actual rational zeros.
Use this calculator to apply the Rational Zero Theorem to any valid polynomial equation you provide, showing all the steps. All you need to do is provide a valid polynomial equation, such as 4x^3 + 4x^2 + 12 = 0, or perhaps an equation that is not fully simplified like x^3 + 2x = 3x^2 - 2/3, as the calculator will take care of its simplification.
Free Pre-Algebra, Algebra, Trigonometry, Calculus, Geometry, Statistics and Chemistry calculators step-by-step
2 dni temu · By systematically testing candidate values derived from the coefficients of a polynomial, mathematicians can pinpoint rational solutions. ... Calculation Formula. The Rational Zero Theorem states that any potential rational zero of a polynomial function \[ f(x) = anx^n + a{n-1}x^{n-1} + \cdots + a_0 \] is of the form \[ \frac{p}{q} \] where:
The rational zeros calculator finds all possible rational roots of a polynomial and lets you know which of these are actual. For the polynomial you enter, the tool will apply the rational zeros theorem to validate the actual roots among all possible values.
Use synthetic division or long division to test each possible rational zero. Divide the polynomial equation by the possible zero and check if the remainder is zero. If the remainder is zero, then the tested number is a rational zero of the equation.
