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TI-82 & TI-83 Synthetic Division

To make this program as easy to load as possible and to take up as little memory as possible, I have required that the coefficients be input all in one step. For example, x3 + 3x2 +3x +1 would be input like this: {1, 3, 3, 1}. Be sure to use braces. The ZERO  is, of course, the divisor solved for x. The remainder appears after REM and is, of course, written over the divisor (in this case x+1) in your answer.  Example: (x3 + 3x2 +3x +1)/(x+1). The ZERO would be -1. Note that semicolons are used for separators in the keystrokes. Enter only commas in the coding.  Note:  I have not included every instance of ALPHA.  There are only two  instances where letters are not obtained with ALPHA: List names, and the "F" in the very last step of the "Keystrokes" column.

DISCLAIMER:  This program is free, and, therefore, I make no claims about it's efficacy, efficiency, or proper operation.  If you find a problem with this program, or can suggest an improvement, please e-mail me at  .

Use of this Program:  You may use this program freely for your own personal use and for the use of other students, but use for publication or any means of profit requires my permission.

Memory Usage:  This version of the program uses 169 bytes of memory. I estimate it will take an inexperienced programmer about 10 minutes to enter by hand.

Revisions: Version V1.0, Date: 8/1/03.  Version: V1.1, Date: 10/2/04




Program Name

Disp "V1.1 FKIZER"

PRGM; I/O; 3
2nd ALPHA (Enter Text)

Lbl 0


Input  "ZERO=", Z

PRGM;I/O; 1; (; Text entry; , ; Z)

Input  "COEFFS  =", L1

PRGM; I/O; 1; (; Text entry;2nd;TEST;1;"; , ; 2nd; L1; )

2® I

2; STO; I

dim (L1)® N

2nd ; LIST; OPS; 3; 2nd ; L1;); STO; ALPHA; N

{0}® L2

2nd; {; 0; 2nd ; }; STO; 2nd; L2

N® dim (L2)

ALPHA; N; STO; 2nd; LIST; OPS; 3; 2nd;L2; )

L1(1) ® L2 (1)

2nd;L1; (;1; ); STO; 2nd; L2; (; 1; )

For (I, 2, N)

PRGM; 4; ALPHA; I; 2; ALPHA; N; )

Z* L2 (I-1) + L1(I) ® L2(I)

ALPHA; Z; *; L2 (I-1); +; L1; (; I; ); STO; L2; (; I; )

I +1= I

ALPHA; I; 2nd; TEST; 1; ALPHA; I; +; 1



Disp "SOL"  

Disp L2

PRGM; I/O; 3
2nd; L2

Disp "REM=",L2 (N)

PRGM; I/O; 3; ALPHA; Enter Text;
,; 2nd; L2; (; N; )


PRGM; CTL; F (Note: item F)


Revised 10/2/04