Zero Polynomial – Explained with examples
Zero Polynomial
The Polynomial consisting of only one term, zero, is known as zero polynomial.
What is the degree of zero polynomial?
The degree of zero polynomial is undefined.
Examples of zero polynomial:
f(x)=0
f(x)=0 . x
f(x)=0 . x^{2}
f(x)=0 . x^{3}
f(x)=0 . x^{23}
In the above examples we can clearly see that all functions have the same value, i.e., ‘0’, but the degree of the polynomial is varying. Hence, the degree of zero polynomial is undefined as it can’t be defined as a specific value.
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Frequently Asked Questions
1. What do you mean by the degree of a polynomial?
Ans: The degree of any polynomial is the greatest power of the variable term of that polynomial.
For example, 4 x^{4}+7 x^{5}-22 x^{3}
Here, x is the variable and the highest power of x is 5, hence the degree of the polynomial is ‘5’.
2. Is the degree of a zero polynomial defined?
Ans: No degree of a zero polynomial cannot be defined, i.e., it is undefined.