The Remainder Theorem is not something that you will use many times when taking the SAT, but it has shown up on a couple of problems in the practice tests that have been released in *The Official SAT Study Guide*.

The Remainder Theorem says that if you divide some polynomial *p*(*x*) by the linear factor *x* – *a*, the remainder that you get is equal to *p*(*a*). For example, consider the problem below where the polynomial *p*(*x*) = *x**² – *2*x* – 11 is divided by *x* – 5 using either Long Division or Synthetic Division.