Question

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

Answer 1

Step-by-step explanation:

One root a = 2+√5

And another say:

$\beta$

Sums of roots =

$a + \beta = 4$

$= > 2 + \sqrt{5 } + \beta = 4$

$= > \beta = 2 - \sqrt{5}$

Polynomials p(x) = (x-2-√5)(x-2+√5)

p(x)=x^2 -4x-1