Find a polynomial function f(x) with integer coefficients and leading coefficient 1, such that f(x) has x= sqrt(24) 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=  sqrt(24)  as one of its roots.

Mark M. · Accepted Answer

f(x) = (x - √24)(x + √24)    Irrational roots are conjugate pairs.

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