Question

Find a quadratic polynomial with zero as 3+√2 and 3√2​

Answer 1

Answer:

x^2 - ( 3 + 4√2 )x + ( 9√2 + 6 )

Step-by-step explanation:

Let,

α = 3 + √2

β = 3√2​

α = 3 + √2 + 3√2​

α = 3 + 4√2

β = ( 3 + √2 ) ( 3√2​ )

β = 9√2 + 6

x^2 - ( α + β )x + αβ  = 0

x^2 - ( 3 + 4√2 )x + ( 9√2 + 6 ) = 0

Answer 2

Answer:

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