How can I do polynominal factorization?

I want to transfrom from left hand side to right hand side. What function sholud I use?

Answer 1

[Star Strider]

You are factoring a 3-degree polynomial, not analytically easy.

The best I can do is:

syms k1 k2 k3 x real
assume(k1 ~= 0)
assume(k2 ~= 0)
assume(k3 ~= 0)
Eqn = 1 + k1*x + k2*x^2 + k3*x^3;
F1 = solve(Eqn == 0, x, 'MaxDegree',2, 'Real',1);
F1v = vpa(F1,3);
abc = vpa(simplify(F1v, 'steps', 30), 3)                % ‘a’, ‘b’, ‘c’ Coefficients

Simplifying the result or attempting to find subexpressions that would make it more tractable are not possible. No worries about the warning, but it is instructive.

[Deokjae Jeong]

Thank you for your answer. I realized that LHS does not always have three real values when expresed LHS==0. I checked your answer and it works. Thank you.

[Star Strider]

My pleasure.

If my Answer solved your problem, please Accept it.

[Deokjae Jeong]

Oh, my mistake. I accepted it.

[Star Strider]

Thank you!