Find a, b, c E R such that the polynomial f(x) = x³ + ax? + bx + c is divisible by g1(x) = x + 2 and when divided by 92(x) = x2 – 1 it gives a remainder r2(x) = 2x + 3.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
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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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Find a, b, c e R such that the polynomial f(x) = x° + ax? + bx + c is divisible by g1(x) = x + 2 and when divided by
92 (x) = x² – 1 it gives a remainder r2(x) = 2x + 3.
Transcribed Image Text:Find a, b, c e R such that the polynomial f(x) = x° + ax? + bx + c is divisible by g1(x) = x + 2 and when divided by 92 (x) = x² – 1 it gives a remainder r2(x) = 2x + 3.
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