find quadratic polynomial having sum of zeroes root 2 and product of zeroes is 1/3
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We know that, The General form of a quadratic polynomial whose Sum of roots and products of roots is given :
x² - ( Sum of roots) x + ( Product of roots )
In the above question,
Sum of roots = √2
Product of roots = 1/3 .
Now, The quadratic polynomial
= x² - √2x + 1/3
= 3x² - 3√2x + 1
Required polynomial is 3x²-3√2x+1
Hope helped!
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