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The product of \((x^2 - 2x - 4)(x^2 - 3x - 5)\) is:

\[
x^4 - 5x^3 - 3x^2 + 22x + 20
\]

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Here are 5 related questions for practice:
1. How do you multiply two polynomials step by step?
2. What are the different methods for polynomial multiplication (e.g., distributive, box method)?
3. How do you check if a polynomial multiplication result is correct?
4. What are the applications of polynomial multiplication in real-world scenarios?
5. How do you factor a polynomial like the one obtained above?

**Tip:** Always combine like terms after multiplying polynomials to simplify the final expression.

Find the product and simplify: (x^2 - 2x - 4)(x^2 - 3x - 5)

Learn how to multiply and simplify the polynomial expressions (x^2 - 2x - 4) and (x^2 - 3x - 5). This detailed step-by-step solution covers polynomial multiplication, combining like terms, and final simplification. Suitable for high school students in Grades 9-12.

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