Given a polynomial \( \mathrm{f}(x)\) is divided by a linear factor \(ax - b\), then \( \mathrm{f} \left( \frac{b}{a} \right) = 0 \) This follows from the division algorithm, where
\( \mathrm{f}(x) = (ax - b) \mathrm{Q}(x)\)
where \( \mathrm{Q}(x)\) is the quotient and \(\mathrm{R}\) is the remainder *Note there is no remainder from the division since \( \mathrm{f}(x)\) is divided by its factor Then,