The given quadratic expression is:

\[
y^2 + 5y + 4
\]

We need to factor it. Here's how we do it step by step:

1. **Identify the coefficients**: The expression is in the form \( y^2 + by + c \), where:
   - \( a = 1 \) (coefficient of \( y^2 \))
   - \( b = 5 \) (coefficient of \( y \))
   - \( c = 4 \) (constant term).

2. **Find two numbers**: We need two numbers that multiply to give \( c = 4 \) and add to give \( b = 5 \).
   - The numbers are \( 1 \) and \( 4 \), because \( 1 \times 4 = 4 \) and \( 1 + 4 = 5 \).

3. **Write the factors**: Using these numbers, we can write the factorization as:
   \[
   y^2 + 5y + 4 = (y + 1)(y + 4)
   \]

Thus, the factored form is:
\[
(y + 1)(y + 4)
\]

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

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Here are 5 related questions:
1. How would you factor \( y^2 + 6y + 9 \)?
2. What is the factorization of \( y^2 + 7y + 10 \)?
3. Can all quadratic expressions be factored using integers?
4. What is the factored form of \( y^2 - 5y + 6 \)?
5. How do you use the quadratic formula for equations that cannot be factored?

**Tip:** Always check your factors by multiplying them back together to ensure they give the original expression.

Learn how to factor the quadratic expression y² + 5y + 4 through a step-by-step guide. This lesson covers key algebraic concepts, including finding factors of quadratic expressions, suitable for students in Grades 8-10.

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