Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
10th Edition
ISBN: 9781337278461
Author: Ron Larson
Publisher: Cengage Learning
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Question

Suppose the coefficients of the cubic polynomial p(x) = a +bx+cx^2+dx^3 satisfy the equation: a+b/2+c/3+d/4 = 0

show that the equation p(x) = 0 has a root between 0 and 1. Can you generalize this result for an nth-degree polynomial?

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