Last time we uncovered a connection between roots of polynomials and factors of polynomials. But what numbers can be roots? Let’s explore this a bit by working on the Rational Roots activity.
The conclusion? If \(p(x)\) is a polynomial with integer coefficients and \(\frac{s}{t}\) is a root, then \(s\) must divide the constant term and \(t\) must divide the leading coefficient.
