The image contains a set of algebra problems in Indonesian, covering simplification, factoring, logarithms, and quadratic equations. Here's a breakdown of the key points for each section:

1. Simplify algebraic expressions:

• The task is to simplify the expressions by combining like terms, which are terms that have the same variables and powers.

2. Combine and factorize algebraic expressions:

• You need to group and factorize the given expressions. Factorizing involves finding common factors or using known algebraic identities.

3. Rewriting and factoring completely:

• This involves fully factorizing the expressions using algebraic identities like difference of squares, perfect square trinomials, etc.

4. Use of exponents and logarithms:

• Simplify the expressions that involve powers and logarithms using exponent rules and logarithmic identities.

5. Convert logarithmic forms:

• Change the logarithmic expressions into a different format, likely using logarithmic properties like the product, quotient, or power rules.

6. Write in logarithmic form:

• Convert the expression involving roots into a logarithmic expression.

7. Factorization of polynomials:

• If possible, factorize the polynomials completely by identifying factors or using methods like synthetic division.

8. Determine remainders:

• Use polynomial division or the remainder theorem to find the remainder when dividing the given polynomial expressions.

9. Solve quadratic equations by completing the square:

• Completing the square is a method used to solve quadratic equations by converting them into perfect square trinomials.

10. Use the quadratic formula to solve quadratic equations:

• Apply the quadratic formula $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$ to solve the quadratic equations provided.

11. Solve cubic equations:

• Solve cubic equations by factoring, starting with linear factors and possibly using the factor theorem.

12. Solve quartic equations:

• Find the solutions to quartic equations by factoring or using advanced techniques.

Would you like detailed explanations for any specific question or section?

Follow-up Questions:

1. Would you like a step-by-step guide for simplifying algebraic expressions in question 1?
2. Do you need help with any specific factorization problems in question 2 or 3?
3. Should I explain how to use logarithmic rules for simplifying question 5?
4. Would you like a worked example for using the quadratic formula (question 10)?
5. Would you like help solving the cubic or quartic equations from question 11 and 12?

Tip:

When simplifying expressions or solving equations, always look for common factors or patterns like difference of squares, perfect squares, or cube identities.