https://file.aiquickdraw.com/mathbot/file/1727097182022qvy19xi8.jpg

Let's go through each question one by one and provide solutions.

**23. Salah satu faktor dari \(x^2 - 25\) adalah....**
The equation \(x^2 - 25\) is a difference of squares, which can be factored as:
\[
x^2 - 25 = (x - 5)(x + 5)
\]
Answer: **d. (x + 5)**

**24. Faktor-faktor dari persamaan kuadrat \(x^2 - 16 = 0\) adalah....**
Again, this is a difference of squares:
\[
x^2 - 16 = (x - 4)(x + 4)
\]
Answer: **a. (x + 4)(x - 4)**

**25. Nilai \(x_1\) dan \(x_2\) dari persamaan kuadrat \(6x^2 - 12x = 0\) adalah....**
First, factor out the common term:
\[
6x(x - 2) = 0
\]
Thus, the solutions are \(x = 0\) or \(x - 2 = 0\), which gives \(x = 2\).
Answer: **b. \(x_1 = 0\) dan \(x_2 = 2\)**

**26. Faktor-faktor dari persamaan kuadrat \(x^2 + 11x + 30 = 0\) adalah....**
We need to factor \(x^2 + 11x + 30\). Find two numbers that multiply to 30 and add to 11, which are 5 and 6:
\[
x^2 + 11x + 30 = (x + 5)(x + 6)
\]
Answer: **a. (x + 5)(x + 6)**

**27. Akar-akar dari persamaan kuadrat \(x^2 + 11x + 30 = 0\) adalah....**
We already factored the equation in question 26. From \((x + 5)(x + 6) = 0\), the roots are \(x = -5\) and \(x = -6\).
Answer: **c. \(x_1 = -5\) dan \(x_2 = -6\)**

Would you like me to continue solving the rest of the questions in this image?

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**Related Questions:**
1. How do you factor more complex quadratic equations?
2. What is the difference between factoring and solving quadratic equations?
3. Can you explain how to solve quadratic equations using the quadratic formula?
4. What is the method of completing the square in solving quadratic equations?
5. How do you check the solutions of a quadratic equation?

**Tip:** Remember that factoring quadratics is easier when you recognize patterns like the difference of squares or perfect square trinomials.

Math problems on quadratic equations, factorization, and solving for roots.

Explore how to solve and factor quadratic equations using various algebraic methods, including difference of squares, factorization, and the quadratic formula. Suitable for students in Grades 9-11.

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