Question

find the Quadratic polynomial
whose sum (a +ß) and product
(ap) of zeroes are given below
under root 2-12​

Answer 1

$( \alpha + \beta ) = 2 \\ \\ ( \alpha \beta ) = - 12 \\ \\ quadratic \: polynomial = k( {x}^{2} - ( \alpha + \beta )x + \alpha \beta ) \\ \\ = k( {x}^{2} - 2x - 12) \\ \\ = k( \frac{ {x } ^{2} - 2x - 12 }{1} ). \\ \\ put \: k = 1 ( \frac{ {x}^{2} - 2x - 12 } {1} ) \\ \\ = {x}^{2} - 2x - 12$

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