Question

form the quadratic polynomial whose zeros are 5+root2 and 5-root2​

Answer 1

Sum of zeroes(s) =

$5 + \sqrt{2} + 5 - \sqrt{2 } \\ = 5 + 5 = 10$

S=10

Product of zeroes(p) =

$(5 + \sqrt{2} )(5 - \sqrt{2} ) \\ = {5 }^{2} - { \sqrt{2} }^{2} \\ = 25 - 2 \\ = 23$

P=23

Therefore, quadratic polynomial so formed=x^2- sx+p

=x^2-10x+23