6.2.1 Finding Real Roots of Polynomial Equations (continued) Example 3 Marketing Application Not all polynomials are factorable, but the Rational Root Theorem can help find all possible rational roots of a polynomial equation. By the Rational Root Theorem, if the polynomial P ( x ) has integer coefficients, then every rational root of the polynomial equation P ( x ) = 0 can be written in the form p / q , where p is a factor of the constant term of P ( x ) and q is a factor of the leading coefficient of P ( x ).
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