Question

Find the quadratic polynomial whose zeroes are 3 + 2root5 and 3 - 2root5.
answer only if u know​

Answer 1

Let α=3+ √5 and β=3-√ 5

Sum of zeros =α+β=3+ √5 +3− √5 =6

Product of zeros =αβ=(3+ √5 )(3− √5 )=9−5=4

Also, Sum of roots = -b/a =− 6/1

Product of roots = c/a = 4/1

⟹a=1,b=−6 and c=4

Hence, the quadratic polynomial is x ^2−6x+4

hope it helps you ❤️