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Degree of the zero polynomial is...

Degree of the zero polynomial is

A

`0`

B

`1`

C

any natural number

D

not defined

Text Solution

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The correct Answer is:
To determine the degree of the zero polynomial, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding the Zero Polynomial**: The zero polynomial is defined as the polynomial that is equal to zero for all values of the variable. It can be represented as \( P(x) = 0 \). 2. **Identifying Coefficients**: In a polynomial, the degree is determined by the highest power of the variable with a non-zero coefficient. For the zero polynomial, all coefficients are zero. 3. **Degree Definition**: The degree of a polynomial is the highest exponent of the variable that has a non-zero coefficient. Since the zero polynomial has no non-zero coefficients, it does not have a degree. 4. **Conclusion**: Therefore, the degree of the zero polynomial is not defined. ### Final Answer: The degree of the zero polynomial is **not defined**. ---

To determine the degree of the zero polynomial, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding the Zero Polynomial**: The zero polynomial is defined as the polynomial that is equal to zero for all values of the variable. It can be represented as \( P(x) = 0 \). 2. **Identifying Coefficients**: ...
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