Question

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

Answer 1

Answer:

x²-4x-1

Step-by-step explanation:

given, one of the zeroes is 2+√5 and sum of both zeroes is 4

implies that, second zero is 4-2+√5 = 2+√5

product of zeroes = (2+√5)(2-√5) = 4-5 = -1

sum of zeroes = 4

p(x) = x²-(sum of zeroes)x+(product of zeroes)

therefore, polynomial is x²-4x-1