Question

find a quadratic polynomial the sum and product of whose zeroes are 5 and -2 respectively
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Answer 1

Given,

$sum \: of \: roots \: ( \alpha + \beta ) = 5 \\ \\ product \: of \: roots \: ( \alpha \beta ) = - 2$

Equation of polynomial =

${x}^{2} - ( \alpha + \beta )x + ( \alpha \beta ) \\ \\ = {x}^{2} - 5x - 2$

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Answer 2

Step-by-step explanation:

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