Form a quadratic polynomial, whose one of the zeroes is (2+ V5) and the sum of
the zeroes is 4.
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Explanation:
one of the zero is 2+√5and the sum of zeroes is 4
therefore,sum of zeroes=sum of the zeroes
therefore,4=2+√5+x
x=2-√5
therefore the anther zero is 2-√5
now the required polynomial is x^2-(sum of zeroes)+(product of zeroes)
therefore the polynomial is
x^2-4+(-1)
therefore the polynomial is
x^2-5
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