
Synthetic division is a shorthand, or shortcut, method of polynomial division in the special case of dividing by a linear factor (and only works in this case). It is generally used, however, not for dividing out factors but for finding zeroes (or roots) of polynomials.
Example:
Example: Divide 3x^{3} – 2x^{2} + 3x – 4 by x – 3 using synthetic division.
Write the answer in the form " q(x) + r(x)/d(x) ".
Directions: Solve the following. 