find the quadratic polynomial when two zeros given 3, 1/2
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Given zeros of polynomial are 3± 2
Let α,β be zeros of polynomial
then
α+β=3+ 2 +3− 2
=6 ________ (1) & αβ(3+ 2 )(3− 2
) αβ=9−3 2 +3 2 −2=7 _________ (2)
then
quadratic equation is x
2 −(α+β)x+αβ=0
From (1) & (2)
[x 2 −6x+7=0]
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