https://file.aiquickdraw.com/mathbot/file/1726711872090z45bntx1.pdf

The document you've uploaded contains a **Tutorial on Polynomials & Partial Fractions** with the following types of questions:

1. **Factorization and Polynomial Equation Solving:**
   - You're asked to find constants \(A\) and \(B\) in polynomial factorizations.
   
2. **Polynomial Expansion and Solving:**
   - Questions that require finding constants \(A\), \(B\), and \(C\) in expanded polynomial forms.

3. **Long Division:**
   - Problems involving polynomial long division to find quotients and remainders.

4. **Synthetic Division:**
   - Problems where synthetic division is used to divide polynomials.

5. **Remainder Theorem:**
   - Questions using the remainder theorem to determine unknown constants in polynomials.

6. **Partial Fractions:**
   - Decomposition of rational expressions into partial fractions.

Would you like to start solving a specific problem from this list? Let me know if you'd like details or help with any particular question!

### Suggested Questions:
1. How do you factor a polynomial with unknown constants like in Question 1?
2. What are the steps for polynomial long division?
3. How is synthetic division used to divide polynomials?
4. How do you apply the remainder theorem to find unknown constants?
5. What is the process for decomposing rational functions into partial fractions?

### Tip:
For dividing polynomials, **synthetic division** is a faster alternative to long division, but it only works when dividing by a linear divisor.

How do I solve polynomial and partial fraction problems?

This tutorial covers solving polynomial and partial fraction problems using techniques like factorization, long division, synthetic division, and decomposition into partial fractions. Ideal for Grades 10-12 students, it includes theorems like the remainder theorem and step-by-step problem-solving methods.

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