Texas Instruments TI-89, TI-92

72 Chapter 3: Symbolic Manipulation

03SYMBOL.DOC TI-89/TI-92 Plus: Symbolic Manipulation (English) Susan Gullord Revised: 02/23/01 10:52 AM Printed: 02/23/01 2:12 PM Page 72 of 24

You can add or divide

polynomials directly, without

using a special function.

Use the factor ( „ 2) and expand ( „ 3) functions.

factor(expression [,var])

expand(expression [,var])

Factor x5 ì1. Then expand the

result.

Notice that factor and expand

perform opposite operations.

The factor ( „ 2) function lets you do more than simply factor an

algebraic polynomial.

You can find prime factors of a

rational number (either an integer

or a ratio of integers).

With the expand ( „ 3) function’s optional var value, you can do a

partial expansion that collects similar powers of a variable.

Do a full expansion of (xñìx)

(yñìy) with respect to all

ariables.

Then do a partial expansion with

respect to x.

Common Algebraic Operations

This section gives examples for some of the functions

available from the „ Algebra toolbar menu. For complete

information about any function, refer to Appendix A. Some

algebraic operations do not require a special function.

Adding or Dividing

Polynomials

Factoring and

Expanding

Polynomials

Finding Prime

Factors of a Number

Finding Partial

Expansions

for factoring with respect to a variable

for partial expansion with respect to a variable