Question

Question: 16
If α and β are the zeroes of the quadratic polynomial such that α + β = 24 and α – β = 8, find a quadratic polynomial having α and β as its zeroes.
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Answer 1

Given,

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

Then,

$\alpha = 16 \: \: and \: \: \beta = 8$

Thus, reqd. polynomial;

${x}^{2} - ( \alpha + \beta )x + \alpha \beta \\ = {x}^{2} - 24x + 128$

HOPE THIS COULD HELP!!!

Answer 2

Heya see the pic below. Hope it helps

Kindly mark it brainliest.