Degree of the zero polynomial is
a. 0
b. 1
c. Any natural number
d. Not defined
Solution:
We know that
The highest sum of the exponents is known as the degree of a polynomial.
The degree of a term is the sum of the exponents of variables which appear in it and is a non negative integer.
Any polynomial with all the variables that have their coefficients equal to zero is called zero polynomial.
For example - In the polynomial 3x4 + 0x3 + 0x5 + 6x + 5
The degree of the zero polynomial is not defined.
Therefore, the degree of the zero polynomial is not defined.
✦ Try This: Degree of the polynomial 3x7 + 8x3 + 5x2 + x + 2 is a. 4, b. 5, c. 3, d. 7
It is given that
3x7 + 8x3 + 5x2 + x + 2
The highest degree of the polynomial is 7
Therefore, the degree of the polynomial is 7.
☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 2
NCERT Exemplar Class 9 Maths Exercise 2.1 Problem 4
Degree of the zero polynomial is a. 0, b. 1, c. Any natural number, d. Not defined
Summary:
Zero polynomial is a type of polynomial where the coefficients are zero and are usually written as 0 and have no terms. Degree of the zero polynomial is not defined
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