# What is zero polynomial?

Jul 12, 2015

The zero polynomial is simply $0$

#### Explanation:

When we speak of addition of numbers, $0$ is the identity.

For any number $a$,

$a + 0 = 0 + a = a$

We can also add and subtract polynomials. The 'zero polynomial' is the identity under addition and subtraction of polynomials. For any polynomial $P$,

$P + 0 = 0 + P = P$