Question

What is the remainder when x2 - 10x + 16 is divided by x - 2?0128

Answer 1

We want to find the remainder when

`(x^2-10x+16)/(x-2)`

Using the remainder theorem, we have

`\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}`

Hence the answer is 0