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Problem Solving (PS) | Re: x is an integer. If x>9, and x^3+3x^2+2x is not divisible

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Factoring the equation yields x(x+1)(x+2).
Since two consecutive even numbers are always divisible by 4,the product above will be of an odd, even, odd number, with the even number not being divisible by 4. Examples would be 14 or 18. Therefore, (x + 1) - 6 would be divisible by 4. Therefore, x - 5 would be divisible by 4.

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