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The image contains polynomial division exercises in Spanish. Here's the transcription and translation of the relevant math problems:

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### **Actividad a Resolver** (Activity to Solve):

#### 35. **Efectúa la siguiente división de polinomios** (Perform the following polynomial division):

\[
\frac{(2x^4 - 5x^3 - 7x + 5)}{(x^2 - 2x + 2)}
\]

**Comprobar** (Check) that the equality holds: 

\[
\text{Dividend} = \text{Divisor} \times \text{Quotient} + \text{Remainder}
\]

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#### 36. **Efectúa estas divisiones** (Perform these divisions):

**a.** 

\[
\frac{(x^4 + 4x^3 - x^2 - 16x + 12)}{(x^2 + x - 6)}
\]

**b.** 

\[
\frac{(2x^3 + 3x - 5)}{(x^2 - 2x)}
\]

**c.** 

\[
\frac{(2x^4 + 22x^3 - 58x^2 - 2x - 40)}{(x^2 + 6x - 5)}
\]

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Would you like me to start solving problem 35 or one of the divisions from 36? Let me know if you want detailed steps or explanations!

Perform the following polynomial divisions:
1. (2x^4 - 5x^3 - 7x + 5) ÷ (x^2 - 2x + 2)
2. (x^4 + 4x^3 - x^2 - 16x + 12) ÷ (x^2 + x - 6)
3. (2x^3 + 3x - 5) ÷ (x^2 - 2x)
4. (2x^4 + 22x^3 - 58x^2 - 2x - 40) ÷ (x^2 + 6x - 5)

Learn how to solve polynomial division problems such as (2x^4 - 5x^3 - 7x + 5) ÷ (x^2 - 2x + 2) and others. This detailed guide covers long division of polynomials and is suitable for high school students in Grades 10-12.

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