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.

AoPS.Morrisville Nov 23, 2019

#4**0 **

Actually i solved it and got 5 : they would be 2,3,7,1, and lastly -1.

AoPS.Morrisville Nov 24, 2019

#7**0 **

+2,+3,+7, +1, and lastly -1.

-2,-3,+7, +1, and lastly -1.

-2,+3,-7, +1, and lastly -1

+2,-3,-7, +1, and lastly -1.

Looks like you could be right.

Melody Nov 25, 2019