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Let Q(z) and R(z) be the unique polynomials such that 22021 +1 = (z² + z + 1)Q(z) + R(z) %3D and the degree of Ris less than 2. What is R(z)? (A) –z (В) —1 (C) 2021 (D) z + 1 (E) 2z + 1

Let Q(z) and R(z) be the unique polynomials such that 22021 +1 = (z² + z + 1)Q(z) + R(z) %3D and the degree of Ris less than 2. What is R(z)? (A) –z (В) —1 (C) 2021 (D) z + 1 (E) 2z + 1

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Let Q(z) and R(z) be the unique polynomials such that z2021 +1= (z² + z + 1)Q(z)+ R(z) and the degree of R is less than 2. What is R(z) ? (А) —2 (В) —1 (C) 2021 (D) z + 1 (E) 2z + 1
Transcribed Image Text:Let Q(z) and R(z) be the unique polynomials such that z2021 +1= (z² + z + 1)Q(z)+ R(z) and the degree of R is less than 2. What is R(z) ? (А) —2 (В) —1 (C) 2021 (D) z + 1 (E) 2z + 1
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