By Example: Divide by . Variable of P(x) r             Coefficient P(x)   4 0 -30 0 -50 -2 2nd row     -12 36 -18 54 -12 Coefficient Q(x) -3 4 -12 6 -18 4 -14 Variable of Q(x)             R Dividend is (x - (-3)) = (x + 3), r = -3 Remainder (R) is -14 or P(-3) = -14 Quotient, Q(x) is P(r) = (x - r)Q(r) + R

Synthetic Division P(x) divided by (x - r) Interactive Algorithm Internet Exporler  -  MS Excel  - Worksheet If R = 0 or P(r) = 0, then r is a root of the P(x) Animated Solution to be added