Question

find the quadratic polynomial whose zeros are 7 + root 5 and 7 minus root 5

Answer 1

the quadratic equation
xsquare-14x +45

Answer 2

let alpha=7+root 5 ,beeta=7-root5
product of zeroes =alpha×beeta
=7+root5 x 7-root5
=7^2-root5^2
=49-5
=44
sum of zeroes =alpha +beeta
=7+root5+7-root5
=7+7
=14
quadratic equation is of the form= x ^2 -( alpha + beta)
X + alpha beta
x^2-14x+44