Hi all,
I returned to using Maxima recently and I'm quickly becoming addicted
to it. I would like to tell Maxima that p: abx^2+(d-f)/(k^2+l)x+...is
a polynomial in x. I think that would make the study of the polynomial
(monotonicity, roots locus, etc.) easier. Which is the command to do
that? Also, to study the roots of p, is it better to define p as a
function or as an expression?
Is there a command to take a polynomial to "normal" form, I mean
ax^2+bx+c -> x^2+b'x+c'
Ok, just divide p by a, you'll say, but I was just curious if there's
a way :) And for factorized form? I mean
ax^2+bx+c -> (x+ (-b+sqrt(b^2-4ac))/2a)(x+ (-b-sqrt(b^2-4ac))/2a)
Finally, is there a complete Maxima resource which explains how to do
all these things? Don't say the manual - it is indeed complete but it
doesn't teach you how to use Maxima, it is basically a list of all the
possible commands. I need something which is as complete, I mean it
teaches you how to study polynomials, solve equations, do numerical
integration, etc. but more suitable for learning. Thanks,
Best Regards
Sergio