Home Competitions ILL 1969 Problem 66
( U S S 3 ) (USS 3) ( U S S 3 ) ( a ) (a) ( a ) 0 ≤ a 0 ≤ a 1 ≤ a 2 , 0 \le a_0 \le a_1 \le a_2, 0 ≤ a 0 ≤ a 1 ≤ a 2 , ( a 0 + a 1 x − a 2 x 2 ) 2 ≤ ( a 0 + a 1 + a 2 ) 2 ( 1 + 1 2 x + 1 3 x 2 + 1 2 x 3 + x 4 ) (a_0 + a_1x - a_2x^2)^2 \le (a_0 + a_1 + a_2)^2\left(1 +\frac{1}{2}x+\frac{1}{3}x^2+\frac{1}{2}x^3+x^4\right) ( a 0 + a 1 x − a 2 x 2 ) 2 ≤ ( a 0 + a 1 + a 2 ) 2 ( 1 + 2 1 x + 3 1 x 2 + 2 1 x 3 + x 4 ) ( b ) (b) ( b )
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