Question

form a quadratic polynomial one whose zero is 2+√5 and sum of zeroes is 4​

Answer 1

Answer:

x²-4x-1

Step-by-step explanation:

let us assume that the zeroes of the polynomial be a and b

given,

a=2+root5

a+b=4

2+root5 +b=4

b=4-2+root5

b=2+root5

p(x)=(x²-(a+b)x +(ab))

p(x)=x²-4x+(4-5)

p(x)=x²-4x-1