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

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

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Maximum Number of Zeroes of a Polynomial, Nature of Roots Based on Discriminant | PadhAiPro

Question

Assertion-ReasonMaximum Number of Zeroes of a PolynomialNature of Roots Based on DiscriminantCBSE PYQ

The roots of the equation x² – 8 = 0 are

In the given graph, the polynomial p(x) is shown. Number of zeroes of p(x) is

Maximum Number of Zeroes of a Polynomial

Solve the quadratic equation √3x² + 10x + 7√3 = 0 using quadratic formula.

Find the nature of roots of the equation 4x² – 4a²x + a⁴ – b⁴ = 0, b ≠ 0

Solve the equation 4x² - 9x + 3 = 0, using quadratic formula.

Find the nature of roots of the equation 3x² - 4√3x + 4 = 0.