|Read More||www.bee-man.us||Important Notice|
This page illustrates a modification to synthetic division to allow division of polynomials with complex coefficients by complex binomials. In order to do this, the simple multiplication operation must be changed to a "FOIL" (First Outer Inner Last) of the now complex coefficients. It should be remembered that the L term is the product of two imaginary factors, and therefore the sign must be switched to account for the fact that i2 = -1. As a reminder of this the box containing this factor is tinted red, which perhaps suggests "negative" (at least if you are an accountant).
|Complex Synthetic Division Calculator|
|Click on the divisor or equation coefficients in the top line to change.
Click the "Calculate" button to do synthetic division.
The default example above is the Complex Synthetic division of
x2 + 2x + 2 divided by (x + 1 + i), which is one of the two conjugate roots.
The result is: (x + 1 - i), which is the other conjugate root.
My only reward for writing this is the 15 milliseconds of fame I receive from having my name here. Don't deprive me of that.
You can copy this page by simply doing a "Save As" in your browser and putting it somewhere on your hard drive (or your web site). If you stop there the background will be gone. To preserve the background, copy the following file into this same folder, without changing its name, by again using your browser's "Save As". The next time you refresh the page, the background should be restored: