The Ultimate Algebra II Collection
=====================================
MATT SCHRAEDER - 2001
=====================================


This is a collection of programs that are very useful in Algebra I and Algebra II.

All included programs written by Matt Schraeder except for the factorial finder.  (See #4)

For distribution and disclaimer information, see the end of this readme.


Version History
==================

v1.0 - Initial Realease

v1.5 - Added a sythetic division program
     - Fixed bug in quadradic equation solver in which a non simplifiable discriminate isn't 
	calculated and simplified properly

As far as I know there are no more bugs in these programs.  However, if you find one, please let 
me know as soon as possible.


Installation
===============
TI-83 plus:

	- Send all files in the 83p folder to your calculator.

TI-83:

	- Send all files in the 83 folder to your calculator.


Files Included In Collecton
==============================

*NOTE* An underscore (_) indicates a prompt for the user to enter a number.
*NOTE8 "sqrt(" idicates a root symbol

1) ALGEBRA2 (Algebra2.8xp, Algebra2.83p) -> Algebra II Menu Program
--------------------------------------------------------

-This program gives you easy access to the other programs in this collection.

|----------------|
|ALGEBRA 2:      |
|1:IMAGINARY NUM |
|2:RADICAL SIMP  |
|3:FACTORIAL     |
|4:SYSTEM SOLVER |
|5:QUADRADIC     |
|6:SYNTH DIVISION|
|7:QUIT          |
|----------------|


2) IMAGINARY NUM (Imaginry.8xp, Imaginry.83p) -> Imaginary Number Simplifier
-----------------------------------------------------------------

-This is a program that takes a power of the imaginary number 'i' and gives the value of it.
-Why this is helpful: The calculator doesn't calculate certain powers of 'i' correctly.

|----------------|	|----------------|
|i^_             |	|i^27            |
|                |	|              -i|
|                |	|                |
|                |	|                |
|                |	|                |
|                |	|                |
|                |	|                |
|                |	|                |
|----------------|	|----------------|


3) RADICAL SIMP (Radical.8xp, Radical.83p) -> Radical Simplifier
------------------------------------------------------

-This is a program that takes a root and radicand and displays it in simplest form.  It works 
for any root (I have successfully simplified numbers to the 200th power).  It even can do 
imaginary numbers.
-Why this is helpful: The calculator sees radicals as decimals, teachers usually prefer them in 
simplest from (non-decimal)

|----------------|	|----------------|
|Root? _         |	|               4| -read as 4sqrt(5)
|sqrt(_          |	|sqrt(           | -if root is 3 sqrt is replaced by cube root symbol
|                |	|               5| -if root is higher then 3, the root then xroot symbol
|                |	|SIMPLIFIED!     | -if root is higher then 9, R then xroot symbol
|                |	|                |
|                |	|                | -Try using the 1st through 4th roots of 80 and -80
|                |	|                |  to see exactly how the program works and displays
|                |	|                |  answers
|----------------|	|----------------|


4) Factorial (Fctorial.8xp) -> Factorial Finder
--------------------------------------------------

-This is a program that takes a factorial and displays it's decimal value.
-Why this is helpful: The calculator can only find factorials up to 69 because it doesn't 
support higher exponents then 99.  This program can find the decimal value of ANY factorial
-All credits for writting this Program go to Daniel J. Bishop - danb2k@hotmail.com
-For more info see the included "Factorial readme.txt"

|----------------|	|----------------|
|N=?_            |	|70!=            |
|                |	|1.197857167e100 |
|                |	|                |
|                |	|                |
|                |	|                |
|                |	|                |
|                |	|                |
|                |	|                |
|----------------|	|----------------|


5) SYSTEM SOLVER (Syssolve.8xp, Syssolve.83p) -> System of Equations Solver (Ax+By=C;Dx+Ey=F)
-----------------------------------------------------------------------------------

-This is a program that finds the x and y values for a system of equations.
-Why this is helpful: Sure, you can do this using matrices, but why waste the time? This 
program allows you to easily type values for a, b, c, d, e, and f, and quickly finds x and y 
values.

|----------------|	|----------------|
|AX+BY=C         |	|          [[-1] | <- X value (if a=1, b=2, c=3, d=4, e=5, and f=6)
|DX+EY=F         |	|           [2 ]]| <- Y value (if a=1, b=2, c=3, d=4, e=5, and f=6)
|A=?_            |	|                |
|B=?_            |	|                |
|C=?_            |	|                |
|D=?_            |	|                |
|E=?_            |	|                |
|F=?_            |	|                |
|----------------|	|----------------|


6) QUADRADIC (Quadradic.8xp, Quadradic.83p) -> Quadradic Equation Solver
------------------------------------------------------------

-This is a program that solves a quadradic equation and shows the answer in decimal and simplest 
radical form.
-Why this is helpful: The calculator's equation solver only finds one possible solution.  This 
program finds both solutions and also displays the answer in both decimal and simplest radical 
form.

|----------------|	|----------------|				|----------------|
|AX²+BX+C=0      |	|              -1| -reads -1±i sqrt(2) 		| -1+1.414213562i|
|A=?_            |	|+-              | -if a=1, b=2, and c=3	| -1-1.414213562i|
|B=?_            |	|               i|	     			|                |
|C=?_            |	|sqrt(           |	  			|If ... is shown,|
|                |	|               2|	       			|go to the home  |
|                |	|                |	   			|screen and type |
|                |	|                |	 			|S>Frac and      |
|                |	|                |	 			|T>Frac          |
|----------------|	|----------------|	       			|----------------|

|----------------|	|----------------|				|----------------|
|AX²+BX+C=0      |	|              -1| -reads -1±i sqrt(2)		|-1/3+.471404520...|  
|A=?_            |	|+-              |	  ------------		|-1/3-.471404520...| 
|B=?_            |	|               i| 		3		|                |
|C=?_            |	|sqrt(           | -if a=3, b=2, and c=1	|If ... is shown,|
|                |	|               2|				|go to the home  |
|                |	|----------------|				|screen and type |
|                |	|               3|				|S>Frac and type |
|                |	|                |				|T>Frac          |
|----------------|	|----------------|				|----------------|
						
|----------------|	|----------------|
|AX²+BX+C=0      |	|               1| -if a=1, b=2, and c=-3
|A=?_            |	|              -3|
|B=?_            |	|                | -program skips simplest radical form since it has two
|C=?_            |	|                |  simple decimal answers
|                |	|                |
|                |	|                |
|                |	|                |
|                |	|                |
|----------------|	|----------------|


7) SYNTH DIVISION (Synthdic.8xp, Synthdiv.83p) -> Synthetic Division
---------------------------------------------------------

-This is a program that uses synthetic division to divide binomials in the form of Ax-C into any 
polynomial with a degree up to 7.
-Why this is helpful: The calculator will interpret the X as a variable and solve using whatever 
number is currently stored in X.


	|----------------|	|----------------|	|----------------|	
   1)	|DEGREE?_        |  2)	|AX-C            |  3)	|AX³             |
	|                |	|A=_             |	|A=_             |
	|                |	|C=_             |	|                |
	|                |	|                |	|                |
	|                |	|                |	|                |
	|                |	|                |	|                |
	|                |	|                |	|                |
	|                |	|                |	|                |
	|----------------|	|----------------|	|----------------|

	|----------------|	|----------------|	|----------------|	
   4)	|AX²             |  5)	|AX              |  6)	|CONSTANT?       |
	|A=_             |	|A=_             |	|A=_             |
	|                |	|                |	|                |
	|                |	|                |	|                |
	|                |	|                |	|                |
	|                |	|                |	|                |
	|                |	|                |	|                |
	|                |	|                |	|                |
	|----------------|	|----------------|	|----------------|

	|----------------|
   7)	|3             X²|  if 6x³+7x²+x+1
	|-1             X|     -----------
	|2               |        2x+3
	|-5             R|  1) Enter degree of the polynomial
	|                |  2) Enter Coefficient of X and value for C (2 and -3)
	|                |  3-5) Enter Coefficients of each degree of X (6, 7, and 1)
	|                |  6) Enter the Constant (1)
	|                |  7) Displays Answer - read as "3x²-1x+2 Remander of -5"
	|----------------|

	|----------------|
	|GO AGAIN?       |  1) Use the answer from the last synthetic division for the polynomial
	|1:ANSWER AS POLY|	in the next synthetic division and type in a new Ax-C
	|2:SAME POLY     |  2) Use the same polynomial used in the last synthetic division with a
	|3:START NEW     |	new Ax-C
	|4:QUIT          |  3) Start all over with a new polynomial and new Ax-C
	|                |  4) Quit
	|                |
	|                |  *NOTE* "ANSWER AS POLY" only works correctly if there was no remander 
	|----------------|		in the last synthetic division


===========================================================================

Other Programs by Matt Schraeder to check out on www.ticalc.org

Compuvert - A Hexidecimal, decimal, and binary conversion program
Target Praactice - A fun game written in TI-Basic
Nibbles 2 - An updated version of the best game ever written for the TI-83 and 83plus

===========================================================================
Matt Schraeder - February 2001 - www.pdtheme.com

-As with any other program, I will not take any esponsibility for anything that happens to your 
calculator because of the use of these programs.

-This collection and the included programs are free for distribution on any website, as long as 
I am given credit, this readme is included, and no files are removed or added.

-If someone wants to use a program's code as a subroutine in another program, please contact 
Matt Schraeder at Frozen_solid_16@hotmail.com for permission.  Please give a basic idea of 
what it will be used for.

-Feel free to email me for any questions, comments, or bug reports at Frozen_solid_16@hotmail.com

-For more info on the Factorial Finder, contact Daniel J. Bishop at danb2k@hotmail.com or see the 
included "Factorial readme.txt"

===========================================================================