Texas Instruments TI-89 Titanium User Manual page 737

Decomposing a Rational Function
To examine the decomposition of the rational function
graph:
1. On the Home screen, enter the rational
function as shown below and store it in a
function .
f(x)
Enter:
(x^3 10x^2
N
Actual entries are displayed in
Note:
reverse type in the example screens.
2. Use the proper fraction function
( ) to split the function into a
propFrac
quotient and remainder.
3. Copy the last answer to the entry line.
–or–
Enter:
16/(x N 2)+x^2
Move the cursor into the history
Note:
area to highlight the last answer. Press
¸ to copy it to the entry line.
4. Edit the last answer in the entry line. Store
the remainder to
as shown.
y2(x)
Enter:
16/(x N 2)
Activities
!
x+50)/(x 2) f(x)
N N
N 8 † x N 17
and the quotient to
y1(x)
! ù
y1(x): x^2 N 8 x N 17
f(x)=(x
!
y2(x)
3 2
10x x+50)/(x 2)
N N N
on a
734