Synthetic Division
Synthetic Division: "a simplified method for dividing a polynomial by another polynomial of the first degree by writing down only the coefficients of the several powers of the variable and changing the sign of the constant term in the divisor so as to replace the usual subtractions by additions" (2012).

Clink here to learn more about HOW to do synthetic division. And here is a helpful link that lets you and your students EXPLORE different equations and how to apply this method.

How does synthetic division work and what is it's history?