1. Type I: Rational Equations & Domain Restrictions A rational equation consists of ratios of polynomials: P1(x)Q1(x)+P2(x)Q2(x)=P3(x)Q3(x)\frac{P_1(x)}{Q_1(x)} + \frac{P_2(x)}{Q_2(x)} = \frac{P_3(x)}{Q_3(x)}Q1(x)P1(x)+Q2(x)P2(x)=Q3(x)P3(x)