Lesson 19: finding all roots of a polynomial, Q±3 ©f ® 2 ienter), S) 1 fspch 1 2 fspc ) 5 – HP 48G User Manual
Page 63: Ispcl 3 fspcl 6 (t, S 0 l v e
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Lesson 19: Finding all Roots of a Polynomial
A polynomial has tiie same number of roots as its degree—although
not all of these roots will be real or unique. The HP 48 offers an easy
way
to numerically
calculate all
roots
...........
- b o t h r e a l a n d c o m p l e x
—
of a
polynomial. The coefficients of the polynomial may be either real or
complex.
Example:
Find all
roots
of
.r® + ■c'^ +
2
j
; ^ — o x ’ ’
+ 3.r — 6.
S t e p 1 :
Fix the display to two decimal places and then choose the
So Tee p o l y , , „ „ from the SOIAffi choose list.
Q±3
©F ® 2
iENTER)
SiPLVE flN K'N+,„+fll K*f|iJ^
CnEFFICIENT; C AN A1 AO ]:
RDDTJ:
ENTER CDEFFICIENTS DR PRESS SOLVE
S t e p 2 :
Enter
the
coefficients of
the
polynomial, beginning
with the
coefficient of the highest, degree. Press
fSPC")
between each
coefficient.
S) 1 fSPcH 1
2
fSPC )
5
ispcl 3 fspcl 6 (T©
(ENTER)
SOLVE AN H-N+„.*A1K+AV
COEFFICIENTS C AN ... A1 AV ]:
C 1 1 2 -5 3 -6 D
ROOTS:
ENTER ROOTS DR PRESS SOLVE_____
S t e p 3 :
Solve the polynomial.
S 0 L V E
* SOLVE AN■K-'N*...+A1H+A0S
COEFFICIENTS [ AN ... A1 Ai 3=
[ 1 1 2 - 5 3 - 6 ]
ROOTS:
ENTER ROOTS OR PRESS SOLVE
Solving Equations 5-9