College Math Placement Practice Test 2026 - Free College Math Questions and Study Guide

Question: 1 / 400

What is the expanded form of (x + 2)(x + 3)?

x² + 4x + 5

x² + 5x + 6

To find the expanded form of the expression (x + 2)(x + 3), you will use the distributive property, also known as the FOIL method (First, Outside, Inside, Last).

1. **First:** Multiply the first terms from each binomial:

\( x \cdot x = x^2 \).

2. **Outside:** Multiply the outer terms:

\( x \cdot 3 = 3x \).

3. **Inside:** Multiply the inner terms:

\( 2 \cdot x = 2x \).

4. **Last:** Multiply the last terms from each binomial:

\( 2 \cdot 3 = 6 \).

Now, add all these results together:

- Start with \( x^2 \),

- Then combine \( 3x \) and \( 2x \) to get \( 5x \),

- Finally, add the constant \( 6 \).

So when you combine all of these, you get:

\[ x^2 + 5x + 6. \]

This is the expanded form of (x + 2)(x + 3). Therefore, the correct answer is represented by the

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x² + 6x + 4

x² + 5x + 4

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