Home
Class 9
MATHS
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

AI Generated Solution

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. ...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • NUMBER SYSTEMS

    NCERT EXEMPLAR|Exercise SHORT ANSWER TYPE QUESTIONS|1 Videos
  • QUADRILATERALS

    NCERT EXEMPLAR|Exercise Quadrilaterals|56 Videos

Similar Questions

Explore conceptually related problems

lf one zero of the polynomial is 7 and product of zeroes is -35, then the polynomial is

Find the zeroes of the polynomial x^(2)+(1)/(6)x-2, and verify the relation between the coefficients and the zeroes of the above polynomial.

Knowledge Check

  • Numbers of zeroes of the zero polynomial is

    A
    `0`
    B
    `1`
    C
    `2`
    D
    Infinite
  • Degree of the zero polynomial is

    A
    `0`
    B
    `1`
    C
    any natural number
    D
    not defined
  • Degree of zero polynomial is

    A
    0
    B
    1
    C
    any real number
    D
    not defined
  • Similar Questions

    Explore conceptually related problems

    Find the quadratic polynomial sum and product of whose zeroes are -1 and -20 respectively. Also, find the zeroes of the polynomial so obtained

    What is the other zero of the polynomial, if one zero of the quadratic polynomial 2x^2-8x-m is 5/2 ?

    In the figure, the graph of the polynomial p(x) is given. The number of zeroes 'of the polynomial is:

    If one zero of the polynomial is 7 and product of zeroes is -35, then polynomial is:

    In the figure, the graph of the polynomial p(x) is given. The number of zeroes of the polynomial is