Fill in the blanks to complete the polynomial equation that shows the subtraction of the second expression from the first and the resulting difference.

To assist you with filling in the blanks for the polynomial equation, I need to know the specific polynomials involved in the subtraction. If you provide the first expression (the minuend) and the second expression (the subtrahend), I can help you formulate the equation and find the resulting difference. Please provide those details!

9x^2+blank x+13

-2x^2+12x+blank
blank x^2+5x+2

To complete the polynomial equation involving the subtraction of the second expression from the first, let's first outline the expressions you provided:

1. First polynomial (minuend): \(9x^2 + \text{blank} x + 13\)
2. Second polynomial (subtrahend): \(-2x^2 + 12x + \text{blank}\)
3. Resulting polynomial (difference): \(\text{blank} x^2 + 5x + 2\)

Let’s structure the subtraction operation:

\[
(9x^2 + \text{blank} x + 13) - (-2x^2 + 12x + \text{blank}) = \text{blank} x^2 + 5x + 2
\]

When we perform the subtraction, we need to remember that subtracting a polynomial involves changing the signs of the terms in the second polynomial. Thus, the expression becomes:

\[
9x^2 + \text{blank} x + 13 + 2x^2 - 12x - \text{blank}
\]

Combining like terms, we’ll have:

\[
(9x^2 + 2x^2) + (\text{blank} x - 12x) + (13 - \text{blank}) = \text{blank} x^2 + 5x + 2
\]

This implies:

1. For the \(x^2\) terms:
\[
9 + 2 = \text{blank}
\]
So, \(\text{blank} = 11\).

2. For the \(x\) terms:
\[
\text{blank} - 12 = 5
\]
So, solving for \(\text{blank}\):
\[
\text{blank} = 5 + 12 = 17
\]

3. For the constant terms:
\[
13 - \text{blank} = 2
\]
Solving for \(\text{blank}\):
\[
\text{blank} = 13 - 2 = 11
\]

Now we can fill in all the blanks:

The first polynomial becomes:
\[
9x^2 + 17x + 13
\]

The second polynomial becomes:
\[
-2x^2 + 12x + 11
\]

The resulting polynomial:
\[
11x^2 + 5x + 2
\]

Thus, the filled-in equations are:
1. \(9x^2 + 17x + 13\)
2. \(-2x^2 + 12x + 11\)
3. \(11x^2 + 5x + 2\)

Here’s the complete polynomial subtraction:

\[
(9x^2 + 17x + 13) - (-2x^2 + 12x + 11) = 11x^2 + 5x + 2
\]

If you have any further questions or need additional assistance, let me know!

the second 11 is incorrect

Apologies for the oversight. Let’s go through the problem step by step again to ensure that we fill in the blanks correctly.

We want to compute:

\[
(9x^2 + \text{blank} \, x + 13) - (-2x^2 + 12x + \text{blank}) = \text{blank} \, x^2 + 5x + 2
\]

1. **Organizing the subtraction**:
\[
(9x^2 + \text{blank} \, x + 13) + (2x^2 - 12x - \text{blank}) = \text{blank} \, x^2 + 5x + 2
\]

2. **Combining like terms**:
- **For \(x^2\)**:
\[
9 + 2 = \text{blank} \, x^2
\]
So, the blank for \(x^2\) on the right side becomes \(11\).

- **For \(x\)**:
\[
\text{blank} - 12 = 5
\]
Thus,
\[
\text{blank} = 5 + 12 = 17
\]

- **For the constant terms**:
\[
13 - \text{blank} = 2
\]
Solving this gives:
\[
\text{blank} = 13 - 2 = 11
\]

#### Summary of Values:
- The **first polynomial** becomes:
\[
9x^2 + 17x + 13
\]

- The **second polynomial** becomes:
\[
-2x^2 + 12x + 11
\]

- The resulting polynomial (the difference) is:
\[
11x^2 + 5x + 2
\]

#### Therefore, the completed equations are:

1. **First Polynomial**: \(9x^2 + 17x + 13\)
2. **Second Polynomial**: \(-2x^2 + 12x + 11\)
3. **Difference**: \(11x^2 + 5x + 2\)

If you were looking for different blanks or a different approach altogether, please provide more clarification!

I got the answer wrong because of you.

I apologize for the confusion and any inconvenience it may have caused you. Let's carefully go through the problem again step by step to clarify the values in the blanks correctly.

Given:

1. **First Polynomial**: \(9x^2 + \text{blank} \, x + 13\)
2. **Second Polynomial**: \(-2x^2 + 12x + \text{blank}\)
3. **Resulting Polynomial**: \(\text{blank} \, x^2 + 5x + 2\)

### Let's break this down again:

**Step 1: Write the subtraction operation**

When we subtract the second polynomial from the first, we get:

\[
(9x^2 + \text{blank} \, x + 13) - (-2x^2 + 12x + \text{blank}) = \text{blank} \, x^2 + 5x + 2
\]

This is equivalent to:

\[
9x^2 + \text{blank} \, x + 13 + 2x^2 - 12x - \text{blank}
\]

**Step 2: Combine like terms**

Combining the like terms yields:

- For \(x^2\):
\[
9 + 2 = \text{blank}
\]
This means:
\[
\text{blank} = 11
\]

- For \(x\):
\[
\text{blank} - 12 = 5
\]
This means:
\[
\text{blank} = 5 + 12 = 17
\]

- For the constant term:
\[
13 - \text{blank} = 2
\]
Which simplifies to:
\[
\text{blank} = 13 - 2 = 11
\]

### Filling in the blanks:

Thus, we have:

1. **First Polynomial**: \(9x^2 + 17x + 13\)
2. **Second Polynomial**: \(-2x^2 + 12x + 11\)
3. **Resulting Polynomial**: \(11x^2 + 5x + 2\)

### Conclusion

If any of these computed values are not aligning with your expectations, let's clarify specifically where the issue arises. Again, I sincerely apologize for any previous mistakes and the confusion it may have caused. If you have new values or a different context, please provide them, and I’ll make sure to help you correctly this time.