Question

find the quadratic polynomial, the sum and product of whose zeroes are root2 and 3 respectively

Answer 1

Sum of zeroes = root2

Product of zeroes = 3

Required polynomial = x^2 - (sum of zeroes)x + Product of zeroes

= x^2 - root2 x + 3

$= {x}^{2} - \sqrt{2} x + 3$

Answer 2

Answer:Sum of zeroes = root2

Product of zeroes = 3

Required polynomial = x^2 - (sum of zeroes)x + Product of zeroes

= x^2 - root2 x + 3

=  {x}^{2}  -  \sqrt{2} x + 3