How do I get the maximum the maximum degree of a polynomial?

Question

For example applied to y^2*x^3 + z^2+1 it should give 5 due to the y^2*x^3component.

score 3 · Answer 1 · answered Apr 24 '20 at 09:03

3

Max[Total@*First /@ CoefficientRules[y^2*x^3 + z^2 + 1]]

5

This extracts rules for all coefficient combinations, ignores the constant multiplier for them, sums powers in each of them, and takes the largest sum.

answered Apr 24 '20 at 09:03

kirma

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score 1 · Answer 2 · answered Apr 24 '20 at 09:10

1

may be this will work in general. Did not test it fully

ClearAll[x,y,z];
p = y^2* x^3 + z^2 + 1;
Exponent[p /. {y -> x, z -> x}, x]

(* 5 *)

answered Apr 24 '20 at 09:10

Nasser

143,286
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1

You could also automate the replacement of variables with Exponent[p /. Alternatives @@ Variables@p -> x, x]. – kirma Apr 24 '20 at 09:28
@kirma thanks for the nice hint. – Nasser Apr 24 '20 at 09:29

How do I get the maximum the maximum degree of a polynomial?

2 Answers2