Question

Find a quadratic polynomial whose sum and product of the zeros are -2√3,-9

Answer 1

Answer:

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let the quadratic polynomial

$x {}^{2} - (sum) x + product$

now, sum is -2rt3

product is -9

on putting these values in the equation

we get,

$x {}^{2} + 2 \sqrt{3}x - 9$