Common Algebraic Operations - Texas Instruments TI-89 Manual Book

Common Algebraic Operations

Adding or Dividing
Polynomials
Factoring and
Expanding
Polynomials
Finding Prime
Factors of a Number
Finding Partial
Expansions
72 Chapter 3: Symbolic Manipulation
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.
You can add or divide
polynomials directly, without
using a special function.
( „
Use the factor 2 ) and
factor(expression [,var])
expand(expression [,var])
5
Factor ì 1 . Then expand the
x
result.
Notice that and
factor
perform opposite operations.
( „
The ) function lets you do more than simply factor an
factor 2
algebraic polynomial.
You can find prime factors of a
rational number (either an integer
or a ratio of integers).
( „
With the
expand 3
partial expansion that collects similar powers of a variable.
Do a full expansion of
(yñ ì y) with respect to all
variables.
Then do a partial expansion with
respect to .
x
( „
expand 3 ) functions.
for factoring with respect to a variable
for partial expansion with respect to a variable
expand
) function's optional var value, you can do a
(xñ ì x)