Divide. If the polynomial does not divide evenly, include the remainder as a fraction. $$ (-45 x-74) \div(5 x+9) $$ Submithy

Question

UpStudy AI · Accepted Answer

To divide the polynomial $$-45x - 74$$ by $$5x + 9$$, follow these steps:

1. **Divide the leading terms:**
   $$
   \frac{-45x}{5x} = -9
   $$

2. **Multiply the divisor by this result:**
   $$
   -9 \times (5x + 9) = -45x - 81
   $$

3. **Subtract this from the original polynomial:**
   $$
   (-45x - 74) - (-45x - 81) = 7
   $$

4. **Write the final answer:**
   $$
   -9 + \frac{7}{5x + 9}
   $$

**Final Answer:**
$$
-9 + \frac{7}{5x + 9}
$$
The division of $$-45x - 74$$ by $$5x + 9$$ results in $$-9$$ with a remainder of $$\frac{7}{5x + 9}$$.

Divide. If the polynomial does not divide evenly, include the remainder as a fraction. \( (-45 x-74) \div(5 x+9) \) Submithy