Assertion(A): Both zeroes of the quadratic polynomial x² – 2kx + 2 are equal in magnitude but opposite in sign then value of k is ½. Reason(R): Sum of zeroes of a quadratic polynomial ax² + bx + c is −b/a

Question

Assertion-ReasonSum of Zeroes of Quadratic Polynomial

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If the sum of zeroes of the polynomial p(x) = 2x² − k√2 x + 1 is √2, then value of k is :

If the sum of the zeroes of the polynomial p(x) = (p + 1) x² + (2p + 3) x + (3p + 4) is –1, then find the value of 'p'.

Relationship Between Zeroes and Coefficients of Quadratic Polynomial

Sum of Zeroes of Quadratic Polynomial

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

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 :

For the polynomial x² − 5x + 6, the sum of the zeroes is: