Questions: Divide the polynomial by the monomial denominator by writing the fraction as the sum (or difference) of fractions. Simplify your answer, if possible. (-5x-5)/(-5)

$Divide the polynomial by the monomial denominator by writing the fraction as the sum (or difference) of fractions. Simplify your answer, if possible. (-5x-5)/(-5)$

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. \[ \frac{-5 x-5}{-5} \]

Solution

Solution Steps

Solution Approach

To divide the polynomial $-5x - 5$ by the monomial $-5$, we can split the fraction into two separate fractions: $\frac{-5x}{-5}$ and $\frac{-5}{-5}$. Then, simplify each fraction individually.

Step 1: Divide the Polynomial

We start with the expression

\[ \frac{-5x - 5}{-5} \]

We can separate this into two fractions:

\[ \frac{-5x}{-5} + \frac{-5}{-5} \]

Step 2: Simplify Each Fraction

Now, we simplify each fraction individually: