Having problems with this question

n^3 - 7n + 3 is divisible by 3, for each integer n => 0.

---------------My work-------------------------

Show n is true for n = 0

0^3 -7(0) + 3 = 3

Then show n is true for n = K +1

(K + 1)^3 -7(k + 1) + 3 = k^3 + 3k^2 + 3k +1 - 7K -7 = k^3 + 3k^2 -4k -3

Im kinda stuck on how to proceed...