Texas Instruments TITANIUM TI-89 User Manual
Page 755
Activities
755
Decomposing a Rational Function
Decomposing a Rational Function
Decomposing a Rational Function
Decomposing a Rational Function
To examine the decomposition of the rational function
f(x)=(x
3
N
10x
2
N
x+50)/(x
N
2)
on a
graph:
1. On the Home screen, enter the rational
function as shown below and store it in a
function
f(x)
.
Enter:
(x^3
N
10x^2
N
x+50)/(x
N
2)
!
f(x)
Note:
Actual entries are displayed in
reverse type in the example screens.
2. Use the proper fraction function
(
propFrac
) to split the function into a
quotient and remainder.
3. Copy the last answer to the entry line.
–or–
Enter:
16/(x
N
2)+x^2
N
8
†
x
N
17
Note:
Move the cursor into the history
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
y1(x)
and the quotient to
y2(x)
as shown.
Enter:
16/(x
N
2)
!
y1(x): x^2
N
8
ù
x
N
17
!
y2(x)