262i think a,b,c are of same sign
f(x)=x3 +ax2 +bx+c has 3 distinct real roots and
(x2 +2x+2)3+ a(x2+2x+2)2 +b(x2+2x+2)+c has no real roots.
what are a,b&c??
what is the root of f'(x)???
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3 Answers
62Hint you want all roots to be less than 1 (all the three roots)
So the sum of roots is less than 1
also, the roots of f'(x) will be less than 1....