Zero of a polynomial is always 0. Is the given statement true or false? Justify your answer

Solution:

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 the polynomial depends on the degree of the polynomial equation.

Zero of a polynomial can be any real number.

Therefore, the statement is false.

✦ Try This: 1/5x^-2 + 5x + 7. Is the given statement true or false? Justify your answer

It is given that

1/5x^-2 + 5x + 7

We can write it as

x²/5 + 5x + 7

The power of x here is 2 and 1 which is a whole number

Therefore, 1/5x^-2 + 5x + 7 is a polynomial.

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

NCERT Exemplar Class 9 Maths Exercise 2.2 Problem 2(iv)

Zero of a polynomial is always 0. Is the given statement true or false? Justify your answer

Summary:

Zeros of a polynomial are the points where the polynomial equals zero on the whole. The statement “Zero of a polynomial is always 0” is false

☛ Related Questions:

• A polynomial cannot have more than one zero. Is the given statement true or false? Justify your ans . . . .
• The degree of the sum of two polynomials each of degree 5 is always 5. Is the given statement true . . . .
• Check whether p(x) is a multiple of g(x) or not, where p(x) = x³ - x + 1, g(x) = 2 - 3x