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To find the quotient of the given expression, we need to divide the polynomial \(-15x^2 + 40x - 35\) by \(-5\).

Let's perform the division step by step:

\[
\frac{-15x^2 + 40x - 35}{-5}
\]

### Divide each term individually:
1. \(\frac{-15x^2}{-5} = 3x^2\)
2. \(\frac{40x}{-5} = -8x\)
3. \(\frac{-35}{-5} = 7\)

Thus, the quotient is:

\[
3x^2 - 8x + 7
\]

The answer in the boxes would be:
- First box: 3
- Second box: -8
- Third box: 7

Would you like more details on the steps?

Here are 5 related questions for further practice:
1. How would you divide \(20x^2 - 50x + 30\) by 5?
2. What is the quotient of \( -24x^2 + 48x - 72 \) divided by \( -8 \)?
3. Can you divide a polynomial by a binomial, and if so, how?
4. How do you check if the quotient obtained from a polynomial division is correct?
5. What are the steps to perform polynomial long division when dividing by a binomial?

**Tip**: Always distribute the divisor to each term of the polynomial separately to avoid mistakes.

Find the quotient of the expression (-15x^2 + 40x - 35) / (-5).

Learn how to divide the polynomial (-15x^2 + 40x - 35) by (-5). This problem involves key algebraic concepts such as polynomial division and the distributive property. Suitable for students in Grades 7-9.

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