Question

5+i and 5 - i find a polynomial function f(x) of least degree having only real coefficients with zeros.

Answer 1

if 'a' is the root, then (x-a) is the factor!

if 5+i is the root, then (x-(5+i)) = (x-5-i) is the factor,

if 5-i, is the root, then ???

Answer 2

(x-(5-i)) = (x+5+i) ???

Answer 3

(x-(5-i)) = (x-5+i)

Answer 4

so you got the 2 factors,
now just multiply them :)

f(x) = (x-5-i)(x-5+i)

multiply those 2 factors out

Answer 5

thanks so much for the help you can't imagine how lost i was

Answer 6

glad to help :)
welcome ^_^