Question

write the polynomials whose zeros are 3+√2 and 3-√2 ​

Answer 1

Answer:

Hy Given roots

3+12,3-2

For making quad eqn

Formula is xsq - (sum of roots)x + product of

roots =0 Ans

Now x sq -(3+V2+3-v2)x+9-2=0 X square - 6x +7=0

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Answer 2

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

x2 - (α+β)x+αβ=0

From (1) & (2)

[x2−6x+7=0]

Hope it helps you