Question

Form a quadratic polynimial,one of whose zeroes is 2+ root 5 and the sum of zeroes is 4

Answer 1

Plz c the attachment

Answer 2

Hey mate here's your answer.

   Given, α= 2+√5
              α+β=4
∴ α+β=4
   ⇒(2+√5)+β=4
     ⇒β=4-(2+√5)
           =4-2-√5
            =2-√5
∴ β=2-√5

          ∴The Quadratic Polynomial is:
       ×²-(4)x + (2+√5)x ×(2-√5)
       =x²-4x+ (2)²-(√5)²
       =x²-4x+4-5
       =x²-4x-1