SOLUTION
We want to find the remainder when
[tex]\frac{x^2-10x+16}{x-2}[/tex]Using the remainder theorem, we have
[tex]\begin{gathered} x-2=0 \\ x=2 \\ Now\text{ } \\ f(x)=x^2-10x+16 \\ f(2)=2^2-10(2)+16 \\ =4-20+16 \\ =0 \end{gathered}[/tex]Hence the answer is 0
