Question

form the quadratic polynomials whose zeros are 3+root2

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Answer 1

Answer:

form the quadratic polynomials whose zeros are 3+root2

Answer 2

Answer

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)

thenquadratic equation is

x 2 −(α+β)x+αβ=0

From (1) & (2)

[x 2 −6x+7=0]

solution