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

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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

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