Zero of the zero polynomial is
a. 0
b. 1
c. Any real number
d. Not defined

Solution:

We know that

Zeros of a polynomial are the points where the polynomial equals zero on the whole.

The zeros of a polynomial are the values of x which satisfy the equation y = f(x).

Here f(x) is a function of x, and the zeros of the polynomial are the values of x for which the y value is equal to zero.

The number of zeros of a polynomial depends on the degree of the equation y = f(x).

All such domain values of the function, for which the range is equal to zero, are called the zeros of the polynomial.

Therefore, the zero of a zero polynomial is any real number.

✦ Try This: If p(x) = x + 2, then p(x) + p(-x) is equal to

It is given that

p(x) = x + 2

We have to find the value if p(x) + p(-x)

Here p(-x) = -x + 2

p(x) + p(-x) = x + 2 + (-x + 2)

So we get

p(x) + p(-x) = x + 2 - x + 2

p(x) + p(-x) = 4

Therefore, p(x) + p(-x) is equal to 4.

☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 2

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NCERT Exemplar Class 9 Maths Exercise 2.1 Problem 8

Zero of the zero polynomial is a. 0, b. 1, c. Any real 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. Zero of the zero polynomial is any real number

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☛ Related Questions:

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• If x51 + 51 is divided by x + 1, the remainder is a. 0, b. 1, c. 49, d. 50