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Suppose for real $$a$$ , $$b$$ and $$c$$ $$p(x) = ax^2 +bx + c$$ and for $$|x| \leq 1$$ $$|p(x)| \leq 1$$. Prove that for $$|x| \leq 1$$ $$|cx^2 + bx + a| \leq 2$$

Note by Sagnik Saha
2 years, 10 months ago

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