Assertion (A): A quadratic polynomial can have at most two zeroes. Reason (R): The degree of a polynomial determines the maximum number of zeroes it can have.

Free previous-year papers & practice for JEE, NEET and CBSE Boards.

Free previous-year papers & practice for JEE, NEET and CBSE Boards.

Maximum Number of Zeroes of a Polynomial | PadhAiPro

Question

Assertion-ReasonMaximum Number of Zeroes of a Polynomial

Which of the following statements is true for a polynomial p(x) of degree 3?

Assertion (A) : Every quadratic equation has two real roots. Reason (R) : A quadratic polynomial can have at most two zeroes.

Nature of Roots Based on Discriminant

Assertion(A): x² + 4x + 5 has two real zeroes. Reason(R): A quadratic polynomial can have at the most two zeroes.

Assertion(A): x³ + x has only one real zero. Reason(R): A polynomial of nth degree must have n real zeroes.

Degree of a zero polynomial is :

The number of zeroes, the polynomial p(x) = (x – 2)² + 4 can have, is