If α, β are the zeroes of the x² + 7x + 7, find the value of 1/α + 1/β – 2αβ.

Question

TextRelationship Between Zeroes and Coefficients of Quadratic Polynomial

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If α, β are zeroes of the polynomial 8x² - 5x - 1, then form a quadratic polynomial in x whose zeroes are 2/α and 2/β.

Find the zeroes of the polynomial p(x) = 3x² + x - 10 and verify the relationship between zeroes and its coefficients.