Question

form a quadratic polynomial whose zeros are 3 + root 2 and 3 minus root 2​

Answer 1

Alpha + beta = 3+√2

Alpha × beta = 3-√2

General formula for a quadratic equation is :

kx^2 - kx (Alpha + beta ) + k(Alpha × beta ) = 0

x^2 - (3+√2)x + (3-√2)= 0

therefore, this is the quadratic equation so formed

Answer 2

Answer:

Step-by-step explanation:

If α,β are zeros of quadratic polynomial

∴ x²-(α+β)x +αβ

Here,

α = 3 +√2

β = 3 -√2

∴α + β= 3 +√2 + 3 -√2 = 6

∴ αβ = (3 +√2)(3 -√2) = 9 - 2 = 7

Quadratic polynomial = x² - 6x + 7 =0

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