The maximum number of zeroes which a quadratic polynomial can have is _________.

Open in App

Solution

Let f(x) = ax² + bx + c

Maximum number of zeroes of polynomial = Highest power of x
= 2

Therefore, It has at most 2 zeroes.

Hence, the maximum number of zeroes which a quadratic polynomial can have is 2.

Suggest Corrections

Similar questions

Q. Choose the correct statement(s).

i) A linear polynomial has only one zero.
ii ) A quadratic polynomial will have two zeroes.
iii) A quadratic polynomial can have a maximum of two zeroes.
iv) A cubic polynomial can have a maximum of three zeroes.

Q. Maximum number of zeroes that a polynomial can have is equal to the degree of that polynomial.

Q. A quadratic polynomial can have at most

2

zeroes and a cubic polynomial can have at most ........ zeroes.

Q. A cubic polynomial can have maximum of _ zeroes

Q. A quadratic polynomial may not have zeroes.

Join BYJU'S Learning Program

The maximum number of zeroes which a quadratic polynomial can have is _________.

Let f(x) = ax2 + bx + c Maximum number of zeroes of polynomial = Highest power of x = 2 Therefore, It has at most 2 zeroes. Hence, the maximum number of zeroes which a quadratic polynomial can have is 2.

Let f(x) = ax² + bx + c

Maximum number of zeroes of polynomial = Highest power of x
= 2

Therefore, It has at most 2 zeroes.

Hence, the maximum number of zeroes which a quadratic polynomial can have is 2.