Question

write a quadratic polynomial.,whos sum and the product of zeroesare 3 and-2

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Answer 1

Answer:

required quadratic equation equation is as:

X^2 - 3X -2=0

Answer 2

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We know that any quadratic equation will be of the form

$k({x}^{2} -( \alpha +\beta)x + \alpha \beta) = 0$

given,

$\alpha + \beta = 3 \\ \alpha \beta = - 2$

So the quadratic polynomial is,

$k( {x}^{2} - ( 3)x +( - 2) = 0 \\ k( {x}^{2} - 3x - 2 =) 0 \\ {x}^{2} - 3x - 2 = 0$

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