Question

When referring to the leading coefficient, what else would you call a monic/non-monic polynomial?

Answer 1

Leading coefficient = 1 => monic

Answer 2

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Answer 3

No I know that haha, I mean how else would you describe a polynomial that is monic? Or non-monic?

\(x^2 - bx + c\) is a monic quadratic, but what else could you call it instead of monic?

Answer 4

I've just always simply referred to it as monic - or non-monic - and was wondering what else you could refer to them as.

Answer 5

A polynomial with leading coefficient unity? :P

Answer 6

Hahaha. A bit of a mouthfull ffm, but I guess it fits! :-P

Answer 7

I usually call it a quadratic unless I want to stress that it is monic or that the leading coefficient is 1.
I say leading coefficient=1 in a situation where I do not expect "monic" to be understood.

Answer 8

Yeah ok. I was explaining to a younger individual today how to factorise quadratics and couldn't think of anything else to call them other than the aforementioned, and thought "Surely there must be other terms!" :-P

Answer 9

You can't call in quadratic unless it's highest order is only 2.

Answer 10

No, obviously. I mean for polynomials in general, but did specifically mention a quadratic earlier.

Answer 11

Sorry for the confusion, I was referring to the quadratic example.

Answer 12

Btw, why are you searching for this ?

Answer 13

No important reason ;) Just wondered what other people used, if there was another common-place term I wasn't aware of. As I said, in helping with factorisation, I was saying monic/non-monic; and it just seems tedious saying it time and time again ;)