Question

Find a Quadratic polynomial the sum and product of whose zeroes are -3 and 2
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Answer 1

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Answer 2

$let \: \alpha \: an d \: \beta \: b e \: the \: zeros \: of \: the \: polynomial \\ \\ \alpha + \beta = - 3 \\ \alpha \beta = 2 \\ \\ quadratic \: polynomial \\ x {}^{2} - ( \alpha + \beta ) x+ \alpha \beta \\ = x { }^{2} + 3x + 2$