Decomposing A Rational Function - Texas Instruments TI-89 Titanium Short User Manual

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4.
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Decomposing a Rational Function

This activity examines what happens when a rational function is
decomposed into a quotient and remainder. Detailed information about
the steps used in this example can be found in Basic Function Graphing
and Symbolic Manipulation.
Decomposing a Rational Function
To examine the decomposition of the rational function
3 2
N N
f(x)=(x 10x
1. On the Home screen, enter the rational
function as shown below and store it in a
function
f(x)
Enter:
(x^3
Note: Actual entries are displayed in
reverse type in the example screens.
2. Use the proper fraction function (
to split the function into a quotient and
remainder.
Activities
2:Clear split
N
on a graph:
x+50)/(x 2)
.
N N
10x^2 x+50)/(x
to go
!
N
2) f(x)
)
propFrac
97