Question

answer this question

Answer 1

Hey!!!

We have
$\alpha + \beta = 24$

and


$\alpha - \beta = 8$
Adding both

$\alpha + \beta + \alpha - \beta = 24 + 8$


$2 \alpha = 32$

Thus

$\alpha = 16$
Similarly

$\beta = 8$

Required Quadratic Polynomial =


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

=> k(x² - 24x + 128) is the required Quadratic Polynomial where k is any real number.

Hope this helps