Question

find a quadratic polynomial whose one zero is 2 + root 5 and sum of zeros is 4​

Answer 1

Answer:

x²-4x-1

Step-by-step explanation:

please check the photo. find sum and product of roots and substitute in the form of the equation

alpha*beta=-1, sorry it got cutoff from the photo (4-5)=-1

Answer 2

See the attachment mate

$\alpha + \beta = 4 \\ \\ \alpha = 2 + \sqrt5 \\ \\ (2 + \sqrt{5)} + \beta = 4 \\ \beta = 4 - (2 + \sqrt{5)} \\ \beta = 4 - 2 - \sqrt{5 } \\ \beta = 2 - \sqrt{5}$