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polynomialp

Run Example
(%i1)polyp(expr,var):=polynomialp(expr,[var],buildq([bb:var],lambda([aa],freeof(bb,aa))));
(%o1) polyp(expr, var) := polynomialp(expr, [var], 
                              buildq([bb : var], lambda([aa], freeof(bb, aa))))
(%i2) polyp(a*x+b(x),x);
(%o2)                                false
(%i3) 
Run Example
genp: lambda([x],true);
(%o1)                          lambda([x], true)
(%i2) polynomialp(x^(3/2),[x]);
(%o2)                                false
(%i3) polynomialp(x^(3/2),[x],'genp);
(%o3)                                true
(%i4) polynomialp(x^(3/2),[x],'genp,'nonnegintegerp);
(%o4)                                true
(%i5) 
Run Example
f:(x^3+x^2-x+1)*e^(-x);
                                 3    2
                                x  + x  - x + 1
(%o1)                           ---------------
                                       x
                                      e
(%i2) ff:fullratsimp(f);
                                 3    2
                                x  + x  - x + 1
(%o2)                           ---------------
                                       x
                                      e
(%i3) polynomialp(num(ff),[x]);
(%o3)                                true
(%i4) polynomialp(denom(ff),[x]);
(%o4)                                false
(%i5) 

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