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- PuzzlingLv 73 years ago
Try values of x from 0 to 10:
f(x) = 3x^3 - x^2 - 5x + 7
f(0) = 0 - 0 - 0 + 7 ≡ 7 ≠ 0 (mod 11)
f(1) = 3 - 1 - 5 + 7 ≡ 4 ≠ 0 (mod 11)
...
f(9) = 3*729 - 81 - 45 + 7
f(9) ≡ -2 - 4 - 1 + 7 = 0 (mod 11)
Answer:
x = 11n + 9, where n is an integer
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