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The product of the binomials \((x - 3)(x + 2)(x + 4)\), when expanded and simplified, is:

\[
x^3 + 3x^2 - 10x - 24
\]

Would you like further explanation or have any questions?

Here are some related questions to explore:
1. How do you multiply three binomials step by step?
2. What are the common mistakes to avoid when multiplying binomials?
3. Can this expression be factored back into its binomials?
4. How would this expansion change if one of the terms were negative?
5. What applications use polynomial multiplication in algebra?

**Tip:** When multiplying multiple binomials, it’s often easier to expand two at a time.

Find the product of the binomials and simplify: (x - 3)(x + 2)(x + 4)

Learn how to multiply and simplify the binomials (x - 3)(x + 2)(x + 4) using algebraic methods. This example covers important concepts in polynomial multiplication and is suitable for students in Grades 8-10.

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