find quadratic polynomial using sum and product of zeros

Dear student, Zeroes are = 1/4 , -1 . Sum of zeroes = -1 + 1/4 = -3/4 . Product of zeroes = (-1).(1/4 ) = -1/4 . So the quadratic polynomial is = x² - ( sum of zeroes)x + (product of zeroes) => x² + 3x/4 - 1/4 => 4x² + 3x - 1 . Regards

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