HP 50g - collect by powers of x - Printable Version +- HP Forums (https://archived.hpcalc.org/museumforum) +-- Forum: HP Museum Forums (https://archived.hpcalc.org/museumforum/forum-1.html) +--- Forum: Old HP Forum Archives (https://archived.hpcalc.org/museumforum/forum-2.html) +--- Thread: HP 50g - collect by powers of x (/thread-239200.html) HP 50g - collect by powers of x - Juraj O. - 02-17-2013 Is there an easy way to collect terms by powers of a variable in an expression? Ie. I have an expression on the stack that looks like this A*x^2 + A*x + B*x + C I want to group (something like GROUP(expression,'x') ) it by powers of x, so that it looks like this: Ax^2 + (A+B)x + C and not something like A(x^2 + x) + Bx + C which FACTOR/SIMPLIFY/COLLECT often give me. It would also be handy if I could extract a vector of coefficients from that expression: [A A+B C]. If anyone knows how to do this please help me out :) Re: HP 50g - collect by powers of x - Juraj O. - 02-17-2013 I think I've found what I was looking for - the function A->P from the Polynomial library by Steen S. Schmidt. Re: HP 50g - collect by powers of x - Ronald Williams - 02-17-2013 For A*X^2 + A*X + B*x + C try using COLLECT alone and you should get A*X^2 + (B+C)*X + C as desired. Re: HP 50g - collect by powers of x - Mike Morrow - 02-17-2013 Quote: For A*X^2 + A*X + B*x + C try using COLLECT alone and you should get A*X^2 + (B+C)*X + C as desired. That would be quite remarkable! Re: HP 50g - collect by powers of x - Ronald Williams - 02-17-2013 I'm using a real HP50g with rom 2.15 and flag settings as follows: { # 80800002452103F0h # 0h # 8018000002000010h # 0h } and COLLECT works for me! Re: HP 50g - collect by powers of x - Mike Morrow - 02-17-2013 I doubt that any HP 50G will indicate that ``` A*X^2 + A*X + B*X + C = A*X^2 + (B+C)*X + C ``` as your message number 3 in this thread proposes. :-) (unless A = C) Edited: 17 Feb 2013, 4:38 p.m. Re: HP 50g - collect by powers of x - Gerson W. Barbosa - 02-17-2013 He was talking about the typo: A*X^2 + (B+C)*X + C instead of A*X^2 + (A+B)*X + C. Re: HP 50g - collect by powers of x - Ronald Williams - 02-17-2013 Good catch! Thank you Gerson I did miss type the expression. As you correctly pointed out it should have been A*X^2 + (A+B)*X + C and Mike I missed your subtle humor in post #4. Re: HP 50g - collect by powers of x - Juraj O. - 02-17-2013 I was wondering one more minor thing which doesn't really deserve its own thread. Is it possible in the equation editor, with an expression already entered, to add a factor or a summand on the beginning, from the left? Ie. we have b•c. Is it possible to multiply it by a from the left, so we have a•b•c? Same question for b+c, so we get a+b+c? Re: HP 50g - collect by powers of x - C.Ret - 02-18-2013 Hi, On my HP-28S, 'A*x^2 + A*x + B*x + C' x 2 TAYLR returns 'C + (A+B)*x + A*2/2*x^2' then a simple COLCT leads to '(A+B)*x + A*x^2 + C' Is that expression close enough to the expected format? Edited: 18 Feb 2013, 5:11 a.m.