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Relation Between Roots and Coefficients of a Polynomial Equation

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Relations Between Roots and Coefficients

Relations Between Roots and Coefficients

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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.

Find a quadratic polynomial whose zeroes are -2 and 5. Hence, verify the relation between zeroes and coefficients of the polynomial.

Find zeroes of the polynomial 5t^(2)+12x+7 by factorisation mothod and verify the relation between zeroes and coefficients of the polynomial.

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Verify that 1,-2,4 are zeroes of the cubic polynomial x^(3)-3x^(2)-6x+8 . Also verify the relation between zeroes and coefficient of the polynomial.