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If |a x^2+b x+c|lt=1 for all x in [0, 1]...

If `|a x^2+b x+c|lt=1` for all `x` in [0, 1], then
a.`|a|lt=8`
b. `|b|>8`
c. `|c|lt=1`
d. `|a|+|b|+|c|=17`

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