Assertion(A): If the product of the zeroes of polynomial x² +3x +k is -10, the value of k is -2 Reason(R): Sum of the zeroes of quadratic polynomial ax²+bx+c is −b/a

Product of Zeroes of Quadratic Polynomial | PadhAiPro

Question

Assertion-ReasonProduct of Zeroes of Quadratic Polynomial

If the zeroes of the polynomial ax² + bx + 2a/b are reciprocal of each other, then the value of b is

If α and β are zeroes of the polynomial p(x) = x² – 2x – 1, then find the value of 1/2α + 1/2β + 3αβ.

Sum of Zeroes of Quadratic Polynomial

Product of Zeroes of Quadratic Polynomial

If one zero of the polynomial q(x) = (p² + 4)x² + 65x + 4p is reciprocal of the other, then the value of 'p' is :

If α and β are the zeroes of a polynomial x² – 4√3 x + 3, then find the value of α + β – αβ.

If α, β are zeroes of the polynomial 3x² + 14x - 5, then the value of 3((α + β)/(αβ)) is :

If one zero of the polynomials (ax² + bx + c) is the reciprocal of the other, and (a ≠ 0), then which of the following must be true?