find the quadratic polynomial if its zeroes are 0, √15
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Given:
Sum of zeroes = 0
Product of zeroes = \sqrt{15}
To find the quadratic equation:
p(x) = {x}^{2} - x(Sum\; of\; Zeroes) + (Product\; of \;zeroes)
p(x) = {x}^{2} - x(0) + (\sqrt{15}) \\ p(x) = {x}^{2} - 0 + \sqrt{15} \\ p(x) = {x}^{2} + \sqrt{15}
Hence, the quadratic equation is
{x}^{2} + \sqrt{15}
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