Question

What is the degree of a zero polynomial?
1 point
a) 0
b) 1
c) Any natural number
d) Not defined

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Answer 1

GIVEN :

What is the degree of a zero polynomial?

TO FIND :

What is the degree of a zero polynomial?

SOLUTION :

Degree of the zero polynomial   :

The zero polynomial is of the form

For example : $0x^2+0x+0$

• Degree is the highest power of that polynomial.
• For zero polynomial there is no degree and hence it is undefined
• For any constant value, the value 0 can be considered as a constant polynomial is known as the zero polynomial.

∴ degree of a zero polynomial is not defined.

Hence option d) Not defined is correct

Answer 2

Answer:

The answer is D.

The degree of zero polynomial is not defined because, in zero polynomial, the coefficient of every variable is zero. i.e 0x2 or 0x3 , etc. Hence, we cannot exactly determine the exponent of the variable.