To factor trinomials in Algebra II, follow these simple steps:

1. Identify the Trinomial: Look for a math expression that looks like this: $ax^2 + bx + c$. For example, $2x^2 + 5x + 3$.

2. Find the Product: Multiply $a$ and $c$ together. In our example, that means $2 \times 3 = 6$.

3. Determine the Factors: Now, think of two numbers that multiply to equal the product you found and add up to $b$. Here, the numbers $2$ and $3$ work because $2 \times 3 = 6$ and $2 + 3 = 5$.

4. Rewrite the Trinomial: Use these two numbers to change the trinomial. This gives you: $2x^2 + 2x + 3x + 3$.

5. Group and Factor: Now, group the terms together and factor them like this: $(2x^2 + 2x) + (3x + 3) = 2x(x + 1) + 3(x + 1) = (2x + 3)(x + 1)$.

And that’s how you factor trinomials step-by-step!