11.6.8 Polynomial and fractional part
The propfrac command rewrites
a rational function as a polynomial plus a rational function whose numerator
has smaller degree than the numberator; namely, it writes A(x)/B(x)
(after reduction), as:
| Q(x)+ | | where R(x)=0 or 0≤ degree(R(x))< degree(B(x)).
|
(See also Section 7.2.2.)
-
propfrac takes
rat, a rational function.
- propfrac(rat) returns
the sum of a polynomial and rational function which add to
rat, and with the degree of the numerator of the rational
function less that the degree of the denominator.
Example
| propfrac((5*x+3)*(x-1)/(x+2)) |