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Polynomial, Division – HP Prime Graphing Wireless Calculator User Manual

Page 135

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Functions and commands

131

Division

Quotient

Returns the integer quotient of the Euclidean division of two

integers.

iquo(Intgr1, Intgr2)

Example:

iquo(63, 23)

returns

2

Remainder

Returns the integer remainder from the Euclidean division of

two integers.

irem(Intgr1, Intgr2)

Example:

irem(63, 23)

returns

17

a

n

MOD p

For the three integers a, n, and p, returns a

n

modulo p in

[0, p−1].

powmod(a, n, p,[Expr],[Var])

Example:

powmod(5,2,13)

returns

12

Chinese

Remainder

Integer Chinese Remainder Theorem for two equations. Takes

two vectors of integers, [a p] and [b q], and returns a vector

of two integers, [r n] such that x ≡ r mod n. In this case, x is

such that x ≡ a mod p and x ≡ b mod q; also n=p*q.

ichinrem([a,p],[b,q])

Example:

ichinrem([2, 7], [3, 5])

returns

[-12, 35]

Polynomial

Find Roots

Given a polynomial in x (or a vector containing the

coefficients of a polynomial), returns a vector containing its

roots.

proot(Poly)

or

proot(Vector)

Example:

proot([1,0,-2])

returns

[-1.41421356237,1.41421356237]