Question

Find a quadratic polynomial whose sum and product of its zeroes are
and 1/4 and-1 respectively
​

Answer 1

quadratic polynomial = k ( x² - (sum of zeroes)x + product of zeroes )

= k( x² - 1/4 x -1 )

lcm = 4

so k = 4

= 4 ( x² - 1/4 x -1 )

= 4x² - 1x -4

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