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Zero of the zero polynomial is...

Zero of the zero polynomial is

A

`0`

B

`1`

C

any real number

D

not defined

Text Solution

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The correct Answer is:
**Step-by-Step Solution:** 1. **Understanding Zero Polynomial:** - The zero polynomial is defined as a polynomial where all coefficients are zero. It can be represented as \( P(x) = 0 \). 2. **Definition of Zeros of a Polynomial:** - The zeros of a polynomial are the values of \( x \) that make the polynomial equal to zero. In other words, if \( P(x) = 0 \), then \( x \) is a zero of the polynomial. 3. **Analyzing the Zero Polynomial:** - For the zero polynomial \( P(x) = 0 \), there are no specific values of \( x \) that will make this polynomial equal to zero, as it is always zero regardless of the value of \( x \). 4. **Conclusion about Zeros of the Zero Polynomial:** - Since the zero polynomial is always equal to zero, every real number can be considered a zero of the zero polynomial. Therefore, the zeros of the zero polynomial are all real numbers. **Final Answer:** The zeros of the zero polynomial are all real numbers. ---

**Step-by-Step Solution:** 1. **Understanding Zero Polynomial:** - The zero polynomial is defined as a polynomial where all coefficients are zero. It can be represented as \( P(x) = 0 \). 2. **Definition of Zeros of a Polynomial:** - The zeros of a polynomial are the values of \( x \) that make the polynomial equal to zero. In other words, if \( P(x) = 0 \), then \( x \) is a zero of the polynomial. ...
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