Science:Math Exam Resources/Courses/MATH100 B/December 2024/Question 10/Hint 1

Since $A(x)=k(x^2+10(1+\sqrt{5})x$ and $C(x)=5x^2$, the leading terms agree when $k=5$. Consider the behaviour of the cell in the three separate cases $k<5$, $k=5$, and $k>5$.