If a and b are odd integers then find the number of integral roots of $(x^{10} +ax^9 +b=0)$

Question

If a and b are odd integers then find the number of integral roots of $(x^{10} +ax^9 +b=0)$

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I've no idea how to solve this question. Any help would be appreciated. :|

Answer 1

You should consider the equation modulo $2$.