Theory of eqn

Let f(x) = ax2+bx+c where a,b,c ε R.
Suppose |f(x)| ≤ 1 for all x ε [0,1],then
(a) |a|≤8
(b) |b|≤8
(C) |c|≤1
(d) |a|+|b|+|c|≤17

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