To factor the expression \( 3x^2 + 5x \), follow these steps:

1. **Identify the common factor**: 
   Both terms \( 3x^2 \) and \( 5x \) have a common factor of \( x \).

2. **Factor out the common factor**:
   \[
   3x^2 + 5x = x(3x + 5)
   \]

So, the factored form of \( 3x^2 + 5x \) is \( x(3x + 5) \).

Would you like more details on this process, or do you have any questions?

Here are 8 related questions you might find useful:
1. How do you factor quadratic expressions with three terms?
2. What if there's no common factor in a polynomial?
3. How do you factor a trinomial like \( ax^2 + bx + c \)?
4. Can you factor \( 3x^2 + 5x \) using the grouping method?
5. How do you factor higher-degree polynomials?
6. What is the difference between factoring and expanding polynomials?
7. Can you explain how to factor a perfect square trinomial?
8. How do you solve quadratic equations by factoring?

**Tip:** Always look for the greatest common factor (GCF) before attempting to factor any polynomial.

Learn how to factor the quadratic expression 3x^2 + 5x step-by-step. This problem covers key algebraic concepts, including factoring and the quadratic equation formula. Suitable for students in Grades 7-9.

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