Find a quadratic polynomial whose zeroes are 3+root 5 & 3-root5

ANSWER ASAP

Given -> 3 - √5 and 3 + √5 are zeros of a polynomial

let p(x) be required polynomial

====> x - (3 + √5) and x - (3 - √5) are factors of p(x)

====> [x - (3 + √5)] [x - (3 - √5) is required polynomial

= [x - 3 - √5] [x - 3 + √5]

= x^{2} - 3x + ~~√5x~~ - 3x + 9 - ~~3√5~~ - ~~√5x~~ + ~~3√5~~ - 5

= x^{2} - 6x + 4

This is the required polynomial

Hope this helps!!