Question

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

Answer 1

SOLUTION

We want to find the remainder when

$\frac{x^2-10x+16}{x-2}$

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