Question

form a quadratic polynomial whose zeroes are 3+root2 and 3-root2

Answer 1

hi friend,

given.,a quadratic polynomial whose zeroes are 3+root2 and 3-root2

<>sum of zeros →3+√2+3-√2→6

<>product of zeros → (3)²-(√2)²=7

quadratic polynomial will be

<>x²-(sum of zeros)x+product of zeros

<>x²-6x+7

I hope this will help u:)

Answer 2

Hello There !
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Two zeros are 3+√2 , 3-√2
Sum of zeros (S) = 3+√2+3-√2 = 6 
product of zeros (P) = 3+√2(3-√2)
                                 = 9 -3√2+3√2-2
                                 = 7 
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Quadratic equation = k(x²-Sx+P)
Let k = 1
Quadratic equation = x²-6x+7 
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