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Algebra 1

Algebra 1. 8.3 Factoring Product Sum Methode. Learning Targets. Language Goal: Students will be able to explain using writing how to factor polynomials . Math Goal: Students will be able to factor quadratic trinomials of the form x² + bx + c .

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Algebra 1

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  1. Algebra 1 8.3 Factoring Product Sum Methode

  2. Learning Targets • Language Goal: Students will be able to explain using writing how to factor polynomials. • Math Goal: Students will be able to factor quadratic trinomials of the form x² + bx + c. • Essential Question: How are GCFs used to factor polynomials?

  3. Warm-up

  4. Foiling Review Multiply the binomials

  5. To factor a quadratic trinomial of the form find two factors of c whose sum is b To factor look for factors of 18 whose sum is 9.

  6. Example 2: Factoring Factor each trinomial. Check your answer. A. B.

  7. Example 2: Factoring Factor each trinomial. Check your answer. C. D.

  8. Example 2: Factoring Factor each trinomial. Check your answer. E. F.

  9. Example 2: Factoring Factor each trinomial. Check your answer. H.

  10. Example 3: Factoring when c is negative Factor each trinomial. Check your answer. A.B.

  11. Example 3: Factoring when c is negative Factor each trinomial. Check your answer. C.D.

  12. Example 3: Factoring when c is negative Factor each trinomial. Check your answer. E. F.H.

  13. Example 4: Evaluating Polynomials A. Factor n² + 11n + 24. Show that the original polynomial and the factored form have the same value for n = 0, 1, 2, 3, and 4.

  14. Example 4: Evaluating Polynomials B. Factor n² - 7n + 10. Show that the original polynomial and the factored form have the same value for n = 0, 1, 2, 3, and 4.

  15. Example 4: Evaluating Polynomials C. Factor y² + 10y + 21. Show that the original polynomial and the factored form have the same value for y = 0, 1, 2, 3, and 4.

  16. Graphic Organizer

  17. Lesson Quiz

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