HP Prime Graphing Wireless Calculator User Manual
Page 139
Functions and commands
135
Degree
Returns the degree of a polynomial.
degree(Poly)
Example:
degree(x^3+x)
gives
3
Factor by Degree
For a given polynomial in x of degree n, factors out x
n
and
returns the resulting product.
factor_xn(Poly)
Example:
factor_xn(x^4-1)
gives
x^4*(1-x^-4)
Coef. GCD
Returns the greatest common divisor (GCD) of the coefficients
of a polynomial.
content(Poly,[Var])
Example:
content(2*x^2+10*x+6)
gives
2
Zero Count
If a and b are real, this returns the number of sign changes in
the specified polynomial in the interval [a,b]. If a or b are non-
real, it returns the number of complex roots in the rectangle
bounded by a and b. If Var is omitted, it is assumed to be x.
sturmab(Poly[,Var],a,b)
Examples:
sturmab(x^2*(x^3+2),-2,0)
returns
1
sturmab(n^3-1,n,-2-i,5+3i)
returns
3
Chinese
Remainder
Given two matrices whose two rows each contain the
coefficients of polynomials, returns the Chinese remainder of
the polynomials, also written as a matrix.
chinrem(Matrix1,Matrix2)
Example:
chinrem
returns
[[2 2 1] [1 1 2 1 1]]
1 2 0
1 0 1
1 1 0
1 1 1
,