📚 Part 1: Monomial × Polynomial

Instructions: Multiply each monomial by the polynomial. Show your work.

1. 3x(2x + 5) = _______________

2. -4y(y² - 3y + 2) = _______________

3. 2a²b(3a - 4b + 1) = _______________

4. Which expression is equivalent to 5x(x - 3)?

5x² - 15x

5x² - 3

x - 15x

5x² + 15x

✏️ Part 2: Binomial × Binomial (FOIL Method)

Instructions: Use the FOIL method to multiply these binomials.

5. (x + 4)(x + 2) = _______________

6. (2x - 3)(x + 5) = _______________

7. (3y - 1)(2y - 4) = _______________

8. What is the product of (x - 7)(x + 7)?

x² - 49

x² + 49

x² - 14x - 49

2x

Instructions: Solve these more complex polynomial multiplication problems.

9. (x + 3)(x² - 2x + 1) = _______________

10. (2a + b)(a² - ab + b²) = _______________

11. A rectangle has length (3x + 2) and width (x - 4). Write an expression for the area of the rectangle.

Area = _______________

12. Explain in your own words how to multiply two polynomials: