The graph of a polynomial y = p(x) intersects the x-axis at exactly 3 points. The number of zeroes of p(x) is:

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

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

Zeroes of a Polynomial as X-Intercepts of Graph, Maximum Number of Zeroes of a Polynomial | PadhAiPro

Question

MCQ (Single)Zeroes of a Polynomial as X-Intercepts of GraphMaximum Number of Zeroes of a Polynomial

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

Zeroes of the polynomial p(x) = x² − 3√2 x + 4 are :

Factorisation Method for Solving Quadratic Equations

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

Find the value of the polynomial 3x³ – 4x² + 7x –5, when x = 3 and also when x = –3.

Check whether –2 and 2 are zeroes of the polynomial x + 2.

Find a zero of the polynomial p(x) = 2x + 1.