Subjects algebra

Negative Eight Over X Minus Two

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1. The problem is to simplify or understand the expression $$\frac{-8}{x-2}$$. 2. This expression represents a rational function where the numerator is a constant $-8$ and the denominator is the linear expression $x-2$. 3. The function is undefined when the denominator equals zero, so we find the value of $x$ that makes $x-2=0$. 4. Solving $x-2=0$ gives $x=2$. This means the function has a vertical asymptote or is undefined at $x=2$. 5. There is no further simplification possible since $-8$ and $x-2$ share no common factors. 6. The function can be analyzed or graphed as is, noting the vertical asymptote at $x=2$ and that the function approaches zero as $x$ goes to positive or negative infinity. Final answer: The expression is $$\frac{-8}{x-2}$$ with a vertical asymptote at $x=2$ and no simplification possible.