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Mastering Polynomial Subtraction: Techniques and Examples

In this lesson, you will learn how to subtract polynomials by combining like terms effectively. Through carefully structured examples, such as finding the difference between polynomial expressions like (7a + 4) - (9a + 2) and (8b² + 6) - (3b² + 6b + 1), students will gain a clear understanding of the process. Additional exercises help reinforce the skill, ensuring a comprehensive grasp of subtracting polynomials and applying this knowledge in real-world scenarios. Complete guided practice and homework are provided for further learning.

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Mastering Polynomial Subtraction: Techniques and Examples

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  1. Lesson 13-3Pages 678-681 Subtracting Polynomials

  2. What you will learn! • How to subtract polynomials.

  3. Vocabulary

  4. What you really need to know! To subtract polynomials, subtract like terms.

  5. Example 1: Find the difference: (7a + 4) − (9a + 2)

  6. Example 1b: Find the difference: (8b2 + 6) − (3b2 + 6b + 1)

  7. Example 2: Find the difference: (4 x - 8) − (3x + 9)

  8. Example 2b: Find the difference: (7ab + 2b2) − (3a2 + ab + b2)

  9. Example 3: The length of a rectangle is x2 – 9 x + 10 units. The width is x2 –x units. How much longer is the length than the width?

  10. Example 3: Find the difference: (x2 – 9x + 10) − (x2 - x)

  11. Page 680 Guided Practice #’s 3-9

  12. Read: Pages 678-679 with someone at home and study examples!

  13. Homework: Pages 680-681 #’s 10-26 even #’s 30-45 all Practice Quiz 1

  14. Page 756 Lesson 13-3

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