Question

find quadratic polynomial having sum of zeroes root 2 and product of zeroes is 1/3​

Answer 1

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!