Question

please answer question 8 and 9

Answer 1

Let the other zero be x

Sum of zeroes=(2+√5)+x
4=(2+√5)+x
x=4-(2+√5)
  =4-2-√5
  =2-√5

Product of zeroes=(2-√5)(2+√5)
                            =4-5 
                            =-1
The required quadratic polynomial
=x²-(sum of zeroes)x+(product of zeroes)
=x²-(4)x+(-1)
=x²-4x-1

Hence,the required quadratic polynomial is x²-4x-1.