Question

find a quadratic polynomial, the sum and product of its zeroes are 0 and -1​

Answer 1

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Here is your answer

α+β=0

αβ=-1

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

$x {}^{2} - 0 + ( - 1)$

${x}^{2} - 1$

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