Let Q(z) and R(z) be the unique polynomials such that +1 = (z2 +z + 1)Q(z) + R(z) and the degree of R is less than 2. What is R(z)? (А) —z (В) —1 (С) 2021 (D) z + 1 (E) 2z + 1 -Z

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