If \( \left|a x^{2}+b x+c\right| \leq 1 \) for all \( x \) is \( [0,1] \), then....
If \( \left|a x^{2}+b x+c\right| \leq 1 \) for all \( x \) is \( [0,1] \), then
\( \mathrm{P} \)
(1) \( |a| \leq 8 \)
(2) \( |b| \leq 8 \)
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(3) \( |c| \leq 1 \)
(4) \( |a|+|b|+|c| \leq 17 \)
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