@acer Thank you.  I am surprised I haven't been caught out by that before. For me I will use

gnrpoly:=proc(M::Matrix,var:=n)
.
.
.

return  p  

 end proc

@MathPrincess123 Is this what you want?

q := p^2;
nsr1 := simplify(NSR, 'assume = nonnegative');

nsr:=Quotient(nsr1,deltaa,p,'r')
r;

@MathPrincess123  Use the green arrow button to upload the worksheet

@Christian Wolinski ok I realised what you mean. That situation is not likely to occour for me. thank you.

@Christian Wolinski 

In the first post I had set a,b,c,d.  See attached. If this fatally flawed? I dont quite understand your answer.

Download Q_19-9-22_test_if.mw

I worked it out

a, b, c, d := 1, -1, 1, -1;
if (a, b, c, d) = (1, 0, 1, -1) then
    print("foo");
elif (a, b, c, d) = (1, 1, 1, -1) then
    print("bar");
elif (a, b, c, d) = (1, -1, 1, -1) then
    print("foo-bar");
elif (a, b, c, d) = (0, -1, 1, -1) then
    print("no-foo-bar");
end if;

@tomleslie I ran into a situation where the procedure didn't work. I got to work. 

a[h]/(h + 1) as a coefficient caused a failure

getCP1 := proc(t, var := x) 
local cf, varpwr; 
if not has(t, var) then 
return <0, t>;
 elif op(-1, t) = var then
 return <1, `*`(op([1 .. -2], t))>;
    else varpwr, cf := selectremove(has, [op(t)], var);
    return <op(-1, op(varpwr)), `*`(op(cf))>; 
end if; 
end proc;

@dharr @tomleslie   Dharr. That is clever. Totally missed it myself.  Tomsile yes that is what I am looking for.

@vv @acer The docoument contained a various mixture of things I had tried.  continuous I see why now plotting from alpha=-1..1, m=2,n=3 there is a cusp.

    The square root of 3 can be positive or negative. So how should sign know which one should be referenced?

@acer Thank you. Maple could make the hyper insertion box select a bit more general. Shall study those links tonight.

@dharr  Oh mine ".ggb" opened with Geogebra fine. Also tested a PDF which opened with Adobe too. Thanks for the explination.

@dharr Thank you. This works fine for me.  file://localhost\C:\Users\Ronan\Documents\GeoGebra\UHG 4.ggb

but file:\\localhost\C:;\Users\.......   forces to  http://file:\\localhost\C:\Users\Ronan\Documents\GeoGebra\UHG 4.ggb which does not work.

I notice you used all forward slashes "/ " which also work. 

Is there a particular rule on the use of  \ and / in directory and file naming. I know I have had problems  on this before with Maple and library's

@acer Ideally I would like the link to open the file in geogebra,  or for the sake of the principle, open a MS Office file with Word, Excel, etc.

@Carl Love Yes, I do understand. I appreciate you help. I was wandering around trying different things.Easy miss the typos doing that.  That is what I was trying to communicate.