Math Solutions

(See Solution) Given that a_n,a_n-1,....,a_1,a_0 are all integers and that a_n and a_0 are non-zero, derive a necessary condition for the equation a_nx^n+a_n-1x^n-1+...+a_1x+a_0=0,

Question: Given that \({{a}_{n}},{{a}_{n-1}},....,{{a}_{1}},{{a}_{0}}\) are all integers and that \({{a}_{n}}\) and \({{a}_{0}}\) are non-zero, derive a necessary condition for the equation \({{a}_{n}}{{x}^{n}}+{{a}_{n-1}}{{x}^{n-1}}+...+{{a}_{1}}x+{{a}_{0}}=0\), to have a rational root. Then use this condition to prove that \(\sqrt{n-1}+\sqrt{n+1}\).

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Solution: The downloadable solution consists of 1 pages
Deliverable: Word Document


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