Assertion (A) : If the graph of a polynomial touches x-axis at only one point, then the polynomial cannot be a quadratic polynomial. Reason (R) : A polynomial of degree n(n >1) can have at most n zeroes.

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

Question

Assertion-ReasonZeroes of a Polynomial as X-Intercepts of GraphMaximum Number of Zeroes of a PolynomialCBSE PYQ

Similar Questions

Find the zeroes of the polynomial q(x) = 8x² – 2x – 3. Hence, find a polynomial whose zeroes are 2 less than the zeroes of q(x).

TextZeroes of a Polynomial as X-Intercepts of GraphFormation of Quadratic Polynomial from Given ZeroesFactorisation Method for Solving Quadratic Equations

Find the zeroes of the polynomial r(x) = 4x² + 3x − 1. Hence, write a polynomial whose zeroes are reciprocal of the zeroes of polynomial r(x).

TextZeroes of a Polynomial as X-Intercepts of GraphRelationship Between Zeroes and Coefficients of Quadratic PolynomialFormation of Quadratic Polynomial from Given Zeroes

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

MCQ (Single)Maximum Number of Zeroes of a Polynomial

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

MCQ (Single)Zeroes of a Polynomial as X-Intercepts of GraphFactorisation Method for Solving Quadratic Equations

The graph of a polynomial p(x) passes through the points (–5, 0), (0, – 40), (8, 0) and (5, – 30). Which among the following is a factor of p(x)?

MCQ (Single)Zeroes of a Polynomial as X-Intercepts of GraphRelationship Between Zeroes and Coefficients of Quadratic Polynomial

Find the zeroes of the polynomial q(x) = 6x² – 5x – 1 and verify the relationship between the zeroes of q(x) and its coefficients.

TextZeroes of a Polynomial as X-Intercepts of GraphRelationship Between Zeroes and Coefficients of Quadratic Polynomial