\hspace{-16}$If $\bf{f(x)=x^m(b^n-c^n)+(c^n-x^n)+c^m(x^n-b^n)}$. Then Prove that\\\\ $\bf{f(x)}$ is Divisible by $\bf{x^2-(b+c).x+bc}$\\\\ Where $\bf{m,n,p\in\mathbb{Z^{+}}}$
http://www.goiit.com/posts/list/algebra-challenge-1155753.htm#1599569
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1 Answers
36let, g(x) = x2 - (b + c)x + bc = (x - b)(x - c)
putting it 0, gives x = b, c
clearly, f(c) = 0
but, f(b) = (bm - 1)(bn - cn)
either b must be 1 or b must be c .. i think such conditiosn mst be given...!!
nt. sure but..!!
bt wt is this p?
