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X²+sx-p  [s=sum of roots , p = product of roots]
α=sum of roots=7
β=product of roots=1
x²+7x-1    is the quadratic polynomial
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It will be x square -7x+7 product will be 7 not 1
Let alpha and beta be the zeroes of the polynomial. Sum of zeroes= 7+1=8 & product of zeroes =7*1=7. For quadratic polynomial k. K= x square - ( sum of zeroes )x + product of zeroes = x square -8x +7 is the required polynomial.
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