Taha777
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find a quadratic polynomial each with the given number as the sum and product of its zeroes respectively

[tex] \sqrt{2} \: \: \: and \ \frac{1 }3[/tex]
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Respuesta :

FaDaReAdEoLa

Answer:

[tex] \alpha + \beta = \sqrt{2} [/tex]

[tex] \alpha \beta = \frac{1}{3} [/tex]

The quadratic equation is given by

[tex]y = {x}^{2} - ( \alpha + \beta )x + \alpha \beta [/tex]

[tex]y = {x}^{2} -x \sqrt{2} + \frac{1}{3} [/tex]

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