Question 536912
Use the fact that if r is a root of a polynomial, then x-r is a factor of the polynomial. Hence, the polynomial would look something like


*[tex \LARGE P(x) = a(x - (-\sqrt{10})(x - 5\sqrt{10}) = a(x + \sqrt{10})(x - 5\sqrt{10})] where a is some constant. Fix a value for the variable a (e.g. assume a = 1) then multiply.