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Polynomial Multiplication Mastery

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Polynomial Multiplication Mastery

Polynomial multiplication illustration

📚 Part 1: Binomial × Binomial (FOIL Method)

Use the FOIL method to multiply each pair of binomials. Show your work and simplify by combining like terms.

1. (x + 4)(x + 7)

Answer: _________________________

2. (2x + 3)(x + 5)

Answer: _________________________

3. (3x - 2)(x + 6)

Answer: _________________________

✏️ Part 2: Binomial × Trinomial

Use the distributive property to multiply each binomial by the trinomial. Show all steps and combine like terms.

4. (x + 2)(x² + 3x + 5)

Answer: _________________________

5. (x - 1)(x² + 4x + 7)

Answer: _________________________

6. (2x + 3)(x² + x + 4)

Answer: _________________________

🎯 Part 3: Challenge Problem & Reflection

7. Challenge: (3x + 2)(2x² + 5x + 1)

Answer: _________________________

8. Reflection: Explain how the distributive property is used when multiplying polynomials. Give an example from one of the problems above.

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