Q(x)=(x3-2x+1-P(x))(2x3-5x2+4-P(x)).
Assume that Q(x)≤0, ∀x and P(0)=3. Calculate Q(-1).
I was suspicious because the difference was a cubic, and a cubic has 1 or 3 real roots. Of course, if it has 3 real roots, then 2 or 3 of them can be identical, so I had to check to see if the 3 real roots were distinct, which they were.
blackjack
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flooble's webmaster puzzle
re(3): Solution
