Find the sum and product of the zeroes of the polynomial 2x² – 8x + 6.

Sum of Zeroes of Quadratic Polynomial, Product of Zeroes of Quadratic Polynomial | PadhAiPro

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TextSum of Zeroes of Quadratic PolynomialProduct of Zeroes of Quadratic Polynomial

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

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

Product of Zeroes of Quadratic Polynomial

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'.

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 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.