find a quadratic polynomial, the sum and product of whose zeroes are -3and 2
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Given, Sum of Zeroes = - 3
\alpha + \beta = - 3α+β=−3
Product of Zeroes = 2
\alpha \beta = 2αβ=2
Quadratic polynomial is
k {x}^{2} - (sum \: \: of \: \: zeroes) + (product \: \: of \: \: zeroes)kx2
−(sum of zeroes)+(product of zeroes)
k {x}^{2} - ( - 3) + (2)kx 2−(−3)+(2)
k {x}^{2} + 3 +2kx2
+3+2
k = 1k=1
{x}^{2} + 3 + 2x2
+3+2
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