If for all ,…

MATHEMATICS · Multi correct · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

If ∣ax2+bx+c∣≤1|ax^2+bx+c|\leq1 for all x∈[0,1]x\in[0,1], then (1) ∣a∣≤8|a|\leq8 (2) ∣b∣>8|b|>8 (3) ∣c∣≤1|c|\leq1 (4) ∣a∣+∣b∣+∣c∣≤17|a|+|b|+|c|\leq17

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