Need help pls a.) Show that for any polynomial f(x) there exists a polynomial g(x) such that f(x) = x*g(x) + c, where c is a constant. b.) Use the result in letter a.) and the remainder theorem to prove the factor theorem. --tnx
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Originally Posted by ihmth Need help pls a.) Show that for any polynomial f(x) there exists a polynomial g(x) such that f(x) = x*g(x) + c, where c is a constant. b.) Use the result in letter a.) and the remainder theorem to prove the factor theorem. Let $\displaystyle f(x) = a_nx^n+...+a_1x+a_0$ then $\displaystyle f(x) = xg(x)+a_0$ where $\displaystyle g(x) = a_nx^{n-1}+...+a_1$.
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