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

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