Multiplying Binomials and Polynomials

Name:

Date:

🧮 Part 1: Visual Models and Methods

1. Use the distributive property to multiply (x + 2)(x + 3). Show your work step by step.

2. Which method do you prefer for multiplying binomials?

Distributive property (algebraic method)

Area model (visual method)

FOIL method

Algebra tiles

3. Explain why you prefer this method:

4. Complete Brayden's algebraic method for (w - 8)(w + 5):

Step 1: w(w + 5) + (-8)(w + 5)

Step 2: __________ + __________

Step 3: Final answer: __________________

5. Multiply (y - 1)(y² + 7y - 26). Show all steps.

6. Use the distributive property to find (2x - 1/3)(x + 5/4):

7. Multiply (2/3 + a)(-5a + 2a² - 8):

8. Find the product: (2y + 1 + 30y³)(-4 + y³ + 5/4 y)

9. Rate your understanding of multiplying polynomials by placing an X on the line:

I need help _____ I can't get started _____ I am getting there _____ I understand and feel confident

10. Complete this statement: "When multiplying polynomials, I prefer to use the __________ because __________."

11. Give one real-life example where you might need to multiply polynomials: