Polynomial Menu - HP 40gs User Manual
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- User manual (444 pages) ,
- Specification sheet (2 pages) ,
- Master manual (366 pages)
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SUBTMOD
Polynomial menu
EGCD
Computer Algebra System (CAS)
Performs a subtraction in Z/pZ or Z/pZ[X].
Example 1
Typing:
SUBTMOD(29, 8)
gives:
–5
Example 2
Typing:
SUBTMOD(11X + 5, 8X + 6)
gives:
3x 1
–
Returns Bézout's Identity, the Extended Greatest Common
Divisor (EGCD).
EGCD(A(X), B(X)) returns U(X) AND V(X) = D(X), with D,
U, V such that D(X) = U(X)·A(X) + V(X)·B(X).
Example 1
Typing:
2
EGCD(X
+ 2 · X + 1, X
gives:
1 –
1 –
=
AND
Example 2
Typing:
2
EGCD(X
+ 2 · X + 1, X
gives:
(
)
–
x 2
–
AND
2
– 1)
2x
+
2
3
+ 1)
1
=
3x
+
3
14-55
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