If α and β are the zeroes of the polynomial p(x) = x² − ax − b, then the value of (α + β + αβ) is equal to :

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Relationship Between Zeroes and Coefficients of Quadratic Polynomial | PadhAiPro

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MCQ (Single)Relationship Between Zeroes and Coefficients of Quadratic PolynomialCBSE PYQ

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The zeroes of a polynomial x² + px + q are twice the zeroes of the polynomial 4x² − 5x − 6. The value of p is :

Find the value(s) of 'k' so that the quadratic equation 4x² + kx + 1 = 0 has real and equal roots.

Discriminant of a Quadratic Equation

Conditions for Two Equal Real Roots

If 'α' and 'β', are the zeroes of the polynomial p(y) = y² − 5y + 3, then find the value of α⁴β³ + α³β⁴.

If – 4 is a zero of the polynomial p(x) = x² – x – (2 + 2k), then the value of k is :

If p and q are zeroes of the polynomial p(y) = 21y² – y – 2, then find the value of (1 – p) . (1 – q).

If one root of equation 4x² - 2x + k - 4 = 0 is reciprocal of the other. The value of k is: