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Let's go through the problem step by step.

### Problem Statement (Translation)
The problem is asking for a quadratic equation whose roots are 3 more than the roots of the quadratic equation \(x^2 + 4x + 3 = 0\).

### Step 1: Find the Roots of the Original Equation
The original equation is:
\[
x^2 + 4x + 3 = 0
\]
To find the roots, we can use factoring:
\[
x^2 + 4x + 3 = (x + 1)(x + 3) = 0
\]
Thus, the roots are:
\[
x = -1 \quad \text{and} \quad x = -3
\]

### Step 2: New Roots
The new roots are each 3 more than the roots of the original equation:
\[
-1 + 3 = 2
\]
\[
-3 + 3 = 0
\]
So, the new roots are \(x = 2\) and \(x = 0\).

### Step 3: Form the New Quadratic Equation
If the roots of a quadratic equation are \(p\) and \(q\), the quadratic equation can be expressed as:
\[
(x - p)(x - q) = 0
\]
For the roots \(2\) and \(0\), the equation becomes:
\[
(x - 2)(x - 0) = x(x - 2) = x^2 - 2x = 0
\]

### Step 4: Match with the Options
The given options are:
- a. \(x^2 - x - 30 = 0\)
- b. \(x^2 - 2x = 0\)
- c. \(x^2 + 5x - 21 = 0\)
- d. \(x^2 + 8x + 24 = 0\)

The correct option is:
- **b. \(x^2 - 2x = 0\)**

### Final Answer
The answer is **b. \(x^2 - 2x = 0\)**.

Would you like more details or have any questions about this solution?

### Related Questions
1. How do you find the roots of a quadratic equation using the quadratic formula?
2. How would the problem change if the new roots were 4 more than the original roots?
3. What is the sum of the roots and the product of the roots for the new equation?
4. How can we verify if a given quadratic equation has specific roots?
5. What are the possible forms of a quadratic equation given two specific roots?

### Tip
When given a quadratic equation problem, always start by finding the roots of the equation first. This step often leads you to the solution systematically.

Persamaan kuadrat yang akar-akarnya lebih 3 dari akar-akar persamaan kuadrat x^2 + 4x + 3 = 0 adalah ....

Learn how to solve a quadratic equation where the roots are 3 more than the roots of x^2 + 4x + 3 = 0. This problem covers key concepts of quadratic equations, factoring, and applying the sum and product of roots theorem.

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