The Rational Roots Theorem

The Rational Roots Theorem helps find possible rational solutions (fractions) to a polynomial equation with integer coefficients. It states that any rational root, expressed as a fraction in lowest terms, must have a numerator that divides the constant term (the last number) and a denominator that divides the leading coefficient (the first number). This narrows down the list of potential rational solutions, making it easier to test if any of these candidates actually satisfy the equation. Essentially, it provides a systematic way to identify potential rational roots before testing them.