Write the quadratic function whose zeros are:

Question

1. 2+square root of 5, 2-square root of 5

2. 3+7i,3-7i

3. 5±i

Please tell me how to get them. I have no clue on how to solve them.

Answer 1

3
(x-4)(x-6)=0 multiply it out
x^2-10x+24=0

I will be happy to check the others.