# Math vocabulary

1. Dec 28, 2005

### Plastic Photon

I was finishing a test today when one of the questions towards the end asked to have all the rational roots listed of a polynomial. I looked at this question and I thought: "I have never heard of 'rational roots'". Though I have heard of rational zeroes, so I just assumed these two to be the same. So far, from my web search and comparison of my book they seem the same.
So I have a question to follow this (that I don't think is homework intensive, but): Are there any of other theorems which have other common names that I may encounter, does this happen often?
Maybe I did go spacecadet in class for a while and the professor might have mentioned that the two are the same/related, but...will this be a reocurring trend through an education in math, say, up to differential equations?
EDIT: this was in college algebra.

Last edited: Dec 28, 2005
2. Dec 28, 2005

### HallsofIvy

Strictly speaking, an equation has a root, while a function, such as a polynomial, has a zero. A zero of a function, f(x), is a root of the equation f(x)= 0. It is, unfortunately, a distinction that is ignored by all but anal-rententive people like me!

3. Dec 28, 2005

### Staff: Mentor

To answer your question - some classes may have different terms for a single concept, and sometimes a syllabus will define something that you think you already know in a different way with a piossibly different meaning. Definitions rule for each class you take.

Explanations of the Chinese remainder theorem in the hands of different folks:

http://www-math.cudenver.edu/~wcherowi/courses/m5410/ctccrt.html [Broken]

(This one has a proof and some "remarks" which are really limiting conditions or definitions)

http://planetmath.org/encyclopedia/ChineseRemainderTheorem.html [Broken]

They don't look identical do they?

Last edited by a moderator: May 2, 2017