Questions: Divide the polynomial by the monomial denominator by writing the fraction as the sum (or difference) of fractions. Simplify your answer, i (6 x+6)/6

Solution Steps

To divide the polynomial by the monomial, we can split the fraction into separate fractions for each term in the numerator. Then, simplify each fraction individually.

We start with the expression

\[ \frac{6x + 6}{6} \]

We can separate the fraction into two parts:

\[ \frac{6x}{6} + \frac{6}{6} \]

Now, we simplify each term:

\[ \frac{6x}{6} = x \quad \text{and} \quad \frac{6}{6} = 1 \]

Thus, we combine the simplified terms:

\[ x + 1 \]

Final Answer