Question 23
Given that $a$ is a real number satisfying $a^4+a^3+a^2+1=0$, evaluate $a^{2020}+2a^{2010}+3a^{2000}$.
Source-consistency check: the premise and original choices are retained unchanged. First check whether such a real number can exist. If not, state that no value is defined under the premise and briefly justify it. This response is assessed manually.
Original choices (retained for manual assessment):
A. 2
B. 4
C. 6
D. 8
E. None of the above
Source-consistency check: the premise and original choices are retained unchanged. First check whether such a real number can exist. If not, state that no value is defined under the premise and briefly justify it. This response is assessed manually.
Original choices (retained for manual assessment):
A. 2
B. 4
C. 6
D. 8
E. None of the above