Multiplying Polynomials Worksheet
Grade 12 math worksheet on multiplying polynomials, covering binomials, trinomials, and special products.
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Multiplying Polynomials
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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?
4x² + 9
4x² + 6x + 9
4x² + 12x + 9
2x² + 12x + 9
9. Which of the following is the product of (5a - 2b)(5a + 2b)?
25a² - 4b²
25a² + 4b²
25a² - 20ab + 4b²
25a² + 20ab + 4b²
10. Expand and simplify the expression: (x - 1)(x² + x + 1)(x + 1)