ILLUSTRATION 2.11 Let f(x) = x³ + x + 1 and P(x) be a cubic polynomial such that P (0) = -1 and roots of P (x) = 0 are the squares of the roots of f(x) = 0. Then find the value of P(4).
ILLUSTRATION 2.11 Let f(x) = x³ + x + 1 and P(x) be a cubic polynomial such that P (0) = -1 and roots of P (x) = 0 are the squares of the roots of f(x) = 0. Then find the value of P(4).
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Complex Numbers
Section4.2: Complex Solutions Of Equations
Problem 7ECP: Find the cubic polynomial function f with real coefficients that has 1 and 2+i as zeros, and f2=2.
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Transcribed Image Text:ILLUSTRATION 2.11
Let f(x) = x³ + x + 1 and P(x) be a cubic polynomial such that
P (0) = -1 and roots of P (x) = 0 are the squares of the roots of
f(x) = 0. Then find the value of P(4).
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