Find a polynomial function f(x) with integer coefficients and leading coefficient 1, such that f(x) has x= 5sqrt( 76) as one of its roots.

Question

Find a polynomial function  f(x)  with integer coefficients and leading coefficient 1, such that  f(x)  has  x= 5sqrt( 76)  as one of its roots.

Mark M. · Accepted Answer

f(x) = (x - 5√76)(x + 5√76)

1 Expert Answer