A calculus problem by Puneet Jain
Calculus
Level
pending
If two real polynomials f(x) and g(x) of degrees m(>=2) and n(>=1) respectively satisfy:
f(x^2 +1) = f(x)g(x) for every x belonging to real numbers then:
f has exactly one real root x such that f'(x)=0
f has exactly one real root x such that f'(x)!=0
f has m distinct real roots
f has no real roots
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