In a certain polynomial, all the coefficients are integers, and the constant coefficient is 42.  All the roots are integers, and distinct.  Find the largest possible number of integer roots.
Question:
In a certain polynomial, all the coefficients are integers, and the constant coefficient is 42.  All the roots are integers, and distinct.  Find the largest possible number of integer roots.
Answer:
Let's think step by step.

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In a certain polynomial, all the coefficients are integers, and the constant coefficient is 42.  All the roots are integers, and distinct.  Find the largest possible number of integer roots.
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