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Mastering Polynomial Factoring Using the Greatest Common Factor (GCF)

In this lesson, students will learn how to factor polynomials by identifying the greatest common factor (GCF). They will also practice writing the prime factorization of various numbers. The lesson includes word problems related to real-life applications, such as calculating dimensions based on area. Through examples and practice exercises, students will enhance their understanding of GCF and its significance in polynomial factoring. Essential questions and warm-up exercises prepare students for the lesson objectives.

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Mastering Polynomial Factoring Using the Greatest Common Factor (GCF)

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Presentation Transcript

  1. Algebra 1 8.2 Factoring by GCF

  2. Learning Targets • Language Goal: Students will be able to write prime factorization of numbers. • Math Goal: Students will be able to factor polynomials by using the greatest common factor. • Essential Question: How are GCFs used to factor polynomials?

  3. Warm-up

  4. Example 1: Factoring by Using the GCF Factor each polynomial. Check your answer A.B.

  5. Example 1: Factoring by Using the GCF Factor each polynomial. Check your answer C.D. E.

  6. Example 1: Factoring by Using the GCF Factor each polynomial. Check your answer F. G.

  7. Example 1: Factoring by Using the GCF Factor each polynomial. Check your answer H. I. J.

  8. Example 2: Word Problems A. Mandy’s calculator is powered by solar energy. The area of the solar panel is . Factor this polynomial to find possible expression for the dimensions of the solar panel.

  9. Example 2: Word Problems B. The area of a court for the game of squash is . Factor this polynomial to find possible expressions for the dimensions of the squash court.

  10. Example 3: Factoring Out a Common Binomial Factor Factor each expression A. B. C.

  11. Example 3: Factoring Out a Common Binomial Factor Factor each expression C.

  12. Example 3: Factoring Out a Common Binomial Factor Factor each expression E.

  13. Example 4: Factoring by Grouping Factor each polynomial by grouping. Check your answer. A. B.

  14. Example 4: Factoring by Grouping Factor each polynomial by grouping. Check your answer. C. D.

  15. Example 4: Factoring by Grouping Factor each polynomial by grouping. Check your answer. E. F.

  16. Example 5: Factoring with Opposites A. B.

  17. Example 5: Factoring with Opposites C. D.

  18. Extra Practice

  19. Extra Practice

  20. Lesson Quiz

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