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Relationship between Zeroes and Coefficients of a Polynomial || Examples

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show that (1)/(2) and -(3)/(2) are the zero of 4x^(2)+4x-3 and verify the relationship between zeros and coefficients of the polynomial

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Find the zeros of the quadratic polynomial 6x^(2) - 3 - 7x and verify the relationship between the zeros and the coefficients of the polynomial.

Find a quadratic polynomial, the sum of whose zeroes is 7 and the product is -60. Hence, verify the relation between zeroes and coefficients of the polynomial.