Question

find a quadratic polynomial of whose zreos is( 3 + root 2) and sum of zeros is 6

Answer 1

Hey, here's your answer....

Let, one of the zeroes be alpha.
and the other be beta.
So, alpha =3+√2
Now, alpha+beta=6
=> 3+√2+beta=6
=> beta =3-√2

The formula for a quadratic polynomial is
x^2-(sum of the zeroes)x+(product of the zeroes)
Therefore, x^2-(6)x +(3-√2)
=> x^2-6x+3-√2
This is the quadratic polynomial.

Hope this helps...

Please make it the brainliest.....