Multiplying Polynomials Worksheet

Multiplying Polynomials

Read each question carefully and show all your work. Simplify your answers completely.

1. When multiplying two binomials, the acronym   is often used to remember the steps.

2. The product of (a + b)² is a special product known as a  .

3. The degree of the product of two polynomials is the   of their individual degrees.

Multiply the following binomials. Show your work.

4. (x + 3)(x - 5)

5. (2y - 1)(3y + 4)

Multiply the following polynomials. Show your work.

6. (x + 2)(x² - 3x + 1)

7. (m - 4)(m² + 4m + 16)

8. What is the expanded form of (2x + 3)²?

9. Which of the following is the product of (5a - 2b)(5a + 2b)?

10. Expand and simplify the expression: (x - 1)(x² + x + 1)(x + 1)