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A polynomial $$g(x)=x^3+ax^2+x+10$$ has three different roots which are the same the three out of four different roots of the polynomial $$f(x)=x^4+x^3+bx^2+100x+c$$ If $a,b $ and $c$ are real numbers, find the value of $f (1) $

Source: MAA


Algebra  


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