The discussion revolves around the concepts of zeros and roots in mathematics, particularly in the context of polynomials and functions. The original poster questions whether zeros and roots are equivalent terms, citing a specific problem that asks about both concepts.
The discussion is ongoing, with differing opinions on whether zeros and roots are the same. Some participants assert that they are equivalent in the context of polynomials, while others argue for a more nuanced distinction based on the definitions of functions and equations. There is no explicit consensus, but various interpretations are being explored.
Participants note that terminology can vary and that there may be a lack of clarity in how these terms are used in different mathematical contexts. The discussion reflects an exploration of these definitions rather than a resolution.
viet_jon said:Zero's are the same thing as roots, correct?
I have a question where a) askes what's the zero's. Then b) asks what are the roots.
pretty sure it's the same.
HallsofIvy said:No, they are not the same. Not if you are being very "correct".
A root of an equation is any solution to that equation.
A zero of a function, f(x), is any solution to the equation, f(x)= 0.
I see that Wikipedia says the opposite, saying that a "root of a function" is the same as a "zero of a function" but I think that is very sloppy terminology. Unfortunately even mathematicians get sloppy sometimes.