Education Technology

# Knowledge Base

## Solution 11820: Algorithm Used for the cZeros() (Complex Zeros) Function on the TI-89 Family, TI-92 Family, and Voyage™ 200 Graphing Calculators.

### What is the cZeros() (complex zeros) function algorithm used on the TI-89 family, TI-92 family, and Voyage 200 graphing calculators?

The syntax for the cZeros function on the TI-89 family, TI-92 family and Voyage 200 is given below:

cZeros(expr, var)list
cZeros({expression1, expression2 [, … ] },{varOrGuess1, varOrGuess2 [, … ] })matrix

The cZeros( function returns a list of candidate real and non-real values of var that make expression = 0 by using the lexical Gröbner/Buchberger elimination method to attempt to determine all complex zeros.. The cZeros(expr, var) function does this by computing exp►list(cSolve(expression = 0, var, var). Please refer to the example provided below.

cZeros(x5+4x4+5x3-6x-3, x)

• Press [2ND] [MATH].
• Select [9: Algebra] [A: Complex] [3:cZeros].
• Press [X] [^] [5] [+] [4] [X] [^] [4] [+] [5] [X] [^] [3] [-] [6] [X] [-] [3].
• Press [,] [X] [ ) ] [ENTER].

Please see the TI-89 family, TI-92 family, and Voyage 200 guidebooks for additional information.