Question

find the quadratic polynomial such that sum of its zeros is 23 and difference between zeros is 7

Answer 1

$\alpha + \beta = 23 \\ \alpha - \beta = 7 \\ 2 \alpha = 30 \\ \alpha = 15 \\ \beta = 8 \\ x = \alpha \\ x - \alpha = 0 \\ x = \beta \\ x - \beta = 0 \\ (x - \alpha )(x - \beta ) = 0 \\ (x - 15)(x - 8) = 0 \\ {x}^{2} - 23x + 120 = 0$
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Answer 2

Answer:

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Step-by-step explanation:

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