Question

“What is exactly the difference between zero and root of a polynomial?”
_______________...

Many times some people told me to use "root" in place of "zero" or sometimes vice - versa. Both have same function but there must be some difference.

Brainly Teachers and also mods, stars are requested to answer.​

Answer 1

Well that's nice question !

Zero is for polynomial ( which makes p(x) whole zero )

eg 2x²+2

While root is for equation ( which makes p(x) = 0 whole zero )

eg 2x²+2 = 0

Answer 2

Step-by-step explanation:

ANSWER:-

The same question , our Maths sir asks every day, so it's very easy. Let us consider an example.

${x}^{2} + y + 1$

Here, we have 2 cases.

I don't know whether the equation is equal to zero or not.

So, case 1, Equal to Zero.

Case 2 Not equal to zero.

Case 1:-

Its equal to zero. So, we need the zeroes of Polynomial.

Case 2:-

It's not equal to zero. Hence, we find roots of a Equation.

But, there's a relation.

The main difference is not here, but Difference in a Polynomial and a Equation.

An equation is always " equal to " zero.

But for polynomial , it is not constant.

Conclusion:-

• A polynomial, so we need to find the zeroes.
• A quadratic or any Equation , we find the roots.

So, that's the main difference. It's minor, but it needs to be considered.