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SEAMO 2027 - Paper F - SET 09 - Self-study Question 23

SEAMO · SEAMO 2027 - Paper F - SET 09 - Self-study

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