HP 39GS hp 39gs_user's guide_English_E_HDPMG39AE13.pdf - Page 164

Probability functions, POLYROOT

Page 164 highlights

POLYROOT HINT Polynomial roots. Returns the roots for the nth-order polynomial with the specified n+1 coefficients. POLYROOT([coefficients]) Example For x4+2x3-25x2-26x+120: POLYROOT([1,2,-25,-26,120]) returns [2,-3,4,-5]. The results of POLYROOT will often not be easily seen in HOME due to the number of decimal places, especially if they are complex numbers. It is better to store the results of POLYROOT to a matrix. For example, POLYROOT([1,0,0,-8] M1 will store the three complex cube roots of 8 to matrix M1 as a complex vector. Then you can see them easily by going to the Matrix Catalog. and access them individually in calculations by referring to M1(1), M1(2) etc. Probability functions COMB PERM Number of combinations (without regard to order) of n things taken r at a time: n!/(r!(n-r)). COMB(n, r) Example COMB(5,2) returns 10. That is, there are ten different ways that five things can be combined two at a time.! Factorial of a positive integer. For non-integers, ! = Γ(x + 1). This calculates the gamma function. value! Number of permutations (with regard to order) of n things taken r at a time: n!/(r!(n-r)! PERM (n, r) Example PERM(5,2) returns 20. That is, there are 20 different permutations of five things taken two at a time. 13-12 Using mathematical functions

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13-12
Using mathematical functions
POLYROOT
Polynomial roots. Returns the roots for the
n
th-order
polynomial with the specified
n
+1
coefficients
.
POLYROOT
([
coefficients
])
Example
For
x
4
+2x
3
–25x
2
–26x+120
:
POLYROOT([1,2,-25,-26,120])
returns
[2,-3,4,-5]
.
HINT
The results of POLYROOT will often not be easily seen in
HOME due to the number of decimal places, especially if
they are complex numbers. It is better to store the results
of POLYROOT to a matrix.
For example,
POLYROOT([1,0,0,-8]
M1
will
store the three complex cube roots of 8 to matrix M1 as
a complex vector. Then you can see them easily by going
to the Matrix Catalog. and access them individually in
calculations by referring to M1(1), M1(2) etc.
Probability functions
COMB
Number of combinations (without regard to order) of
n
things taken
r
at a time:
n!/(r!(n-r))
.
COMB
(n, r)
Example
COMB(5,2)
returns
10
. That is, there are ten
different ways that five things can be combined two
at a time.!
Factorial of a positive integer. For non-integers,
! =
Γ
(x +
1)
. This calculates the gamma function.
value!
PERM
Number of permutations (with regard to order) of
n
things
taken
r
at a time:
n!/(r!(n-r)!
PERM
(
n,
r
)
Example
PERM(5,2)
returns
20
. That is, there are 20
different permutations of five things taken two at a
time.