IKMC 2023 - Grades 11-12 - Set 2 - Self-study Question 25

Question 25

Part of the shown degree-five polynomial is hidden by ink. All its roots are integers. What is the highest power of $x-1$ dividing it?

Question illustration

$(x-1)^1$
$(x-1)^2$
$(x-1)^3$
$(x-1)^4$
$(x-1)^5$