Questions: Divide the polynomial by the monomial denominator by writing the fraction as the sum (or difference) of fractions. simplify your answer, if possible. (-2x - 4) / (-2x)

Divide the polynomial by the monomial denominator by writing the fraction as the sum (or difference) of fractions. simplify your answer, if possible. (-2x - 4) / (-2x)
Transcript text: Divide the polynomial by the monomial denominator by writing the fraction as the sum (or difference) of fractions. simplify your answer, if possible. \[ \frac{-2 x-4}{-2 x} \]
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Solution

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Solution Steps

Step 1: Rewrite the fraction as the sum of fractions

\[ \frac{-2x - 4}{-2x} = \frac{-2x}{-2x} + \frac{-4}{-2x} \]

Step 2: Simplify each fraction

\[ \frac{-2x}{-2x} = 1 \] \[ \frac{-4}{-2x} = \frac{2}{x} \]

Step 3: Combine the simplified fractions

\[ 1 + \frac{2}{x} \]

Final Answer

\(\boxed{1 + \frac{2}{x}}\)

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