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The image contains two mathematical problems in Indonesian, both asking for the factorization of cubic polynomials.

1. **First Question:**
   "Tentukan faktor-faktor dari f(x) = x³ - 71x² - x + 71"
   Translation: "Determine the factors of \( f(x) = x^3 - 71x^2 - x + 71 \)"

2. **Second Question:**
   "Carilah faktor-faktor dari f(x) = x³ + 23x² + 71x - 95"
   Translation: "Find the factors of \( f(x) = x^3 + 23x^2 + 71x - 95 \)"

Let's start by solving both problems through factorization.

### 1. Factorization of \( f(x) = x^3 - 71x^2 - x + 71 \):
We can try using synthetic division or trial factoring to find roots and factor the cubic expression.

### 2. Factorization of \( f(x) = x^3 + 23x^2 + 71x - 95 \):
Similarly, we can use synthetic division or trial factoring for this equation.

Let me compute both solutions.The factorization of the two polynomials is as follows:

1. \( f(x) = x^3 - 71x^2 - x + 71 \) factors as:
   \[
   f(x) = (x - 71)(x - 1)(x + 1)
   \]
   
2. \( f(x) = x^3 + 23x^2 + 71x - 95 \) factors as:
   \[
   f(x) = (x - 1)(x + 5)(x + 19)
   \]

Let me know if you'd like more details or have any further questions.

Here are some related questions you could explore:
1. How do you apply synthetic division to factor polynomials?
2. What are the common techniques for solving cubic equations?
3. Can all cubic equations be factored into linear terms?
4. How can we verify the roots of a factored polynomial?
5. What is the significance of the Rational Root Theorem in factoring polynomials?

**Tip**: When factoring polynomials, always check for possible rational roots by testing factors of the constant term.

Tentukan faktor-faktor dari f(x) = x^3 - 71x^2 - x + 71 dan f(x) = x^3 + 23x^2 + 71x - 95.

This page provides a step-by-step solution to factor cubic polynomials such as f(x) = x^3 - 71x^2 - x + 71 and f(x) = x^3 + 23x^2 + 71x - 95. Learn how to apply synthetic division and the Rational Root Theorem to solve these problems, suitable for students in Grades 10-12.

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