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D.11.4.2 decoef

Procedure from library findifs.lib (see findifs_lib).

Usage:
decoef(P,n); P a poly, n a number

Return:
ideal

Purpose:
decompose polynomial P into summands with respect
to the presence of the number n in the coefficients

Note:
n is usually a parameter with no power

Example:
 
LIB "findifs.lib";
" EXAMPLE:"; 
==>  EXAMPLE:
ring r = (0,dh,dt),(Tx,Tt),dp;
poly P = (4*dh^2-dt)*Tx^3*Tt + dt*dh*Tt^2 + dh*Tt;
decoef(P,dt);
==> _[1]=(4*dh^2)*Tx^3*Tt+(dh)*Tt
==> _[2]=(-dt)*Tx^3*Tt+(dh*dt)*Tt^2
decoef(P,dh);
==> _[1]=(-dt)*Tx^3*Tt
==> _[2]=(4*dh^2)*Tx^3*Tt+(dh*dt)*Tt^2+(dh)*Tt