5.32.8 Polynomial and fractional part: propfrac
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 5.7.2.)
- propfrac takes one argument:
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
Input:
propfrac((5*x+3)*(x-1)/(x+2))
Output: