# Are Zero's and Roots the Same Thing?

• viet_jon
In summary, zeros and roots refer to the same thing when talking about polynomials, but when it comes to functions, zeros specifically refer to solutions to the equation f(x)=0 while roots can refer to solutions to any equation. It is important to use precise terminology in mathematics to avoid confusion.
viet_jon
zero's and roots...

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.

i think when reffering to polynomials zeros and roots refere to the same thing, however when referring to functions i think that we cannot reffer to it as the roots of a function, but only we should referr as the zeros of a function.
I am not quite sure though!

Last edited:
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.

you're right they are the same:

http://en.wikipedia.org/wiki/Root_(mathematics)

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.

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.

i mean what you are saing i think you are right...

marco

## 1. What is the difference between a zero and a root?

A zero is a value of a variable that makes an equation or function equal to zero. A root is a value of a variable that makes an equation or function equal to a specific value other than zero.

## 2. Can a zero or root be negative?

Yes, both zeros and roots can be negative. However, in some cases, a negative zero may be considered equivalent to a positive zero.

## 3. How are zeros and roots related to each other?

Zeros and roots are related in that they both represent values of a variable that satisfy an equation or function. However, they differ in the specific value that the equation or function is equal to.

## 4. Can an equation have more than one zero or root?

Yes, an equation or function can have multiple zeros or roots. For example, a quadratic equation can have two distinct zeros or roots.

## 5. Are zeros and roots always real numbers?

No, zeros and roots can also be complex numbers. In this case, the equation or function would have complex solutions or roots.

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