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Algebra 1

Algebra 1. 8.4 Factoring Boston Method!. 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 ax² + bx + c .

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Algebra 1

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  1. Algebra 1 8.4 Factoring Boston Method!

  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 ax² + bx + c. Essential Question: How are GCFs used to factor polynomials?

  3. Warm-up

  4. Review Multiply Binomials Multiply the Binomials

  5. Boston Method • Boston Method • If a1: ax2 + bx + c • 1) Multiply a and c. • 2) Rewrite in the form x2 + bx + (ac) • 3) Factor • 4) Divide by a • 5) Simplify • 6) Bring the denominator in front of the x.

  6. Boston Method MixedPractice! a. 4y2 – 4y – 3 b. 2x2 + 7x + 3

  7. Boston Method MixedPractice! c. 3k2 + 32k – 11 d. 6x2 + 7x – 3

  8. More Practice: Factoring ax² + bx + c when c is positive. Factor each trinomial. Check your answer. A. 2x² + 11x + 12 B. 5x² – 14x + 6

  9. More Practice: Factoring ax² + bx + c when c is positive. Factor each trinomial. Check your answer. C. 6x² + 17x + 5 D. 9x² – 15x + 4

  10. More Practice: Factoring ax² + bx + c when c is positive. Factor each trinomial. Check your answer. E. 3x² + 13x + 12F. 2x² + 17x + 21G. 3x² – 16x + 16

  11. More Practice: Factoring ax² + bx + c when c is negative A. 4x² + 7x – 2 B. 4x² + 19x – 5

  12. More Practice: Factoring ax² + bx + c when c is negative C. 2x² – 7x – 15 D. 6x² + 7x – 3

  13. More Practice: Factoring ax² + bx + c when c is negative E. 4x² – x – 3 F. 3x² + 11x – 4 G. 2x² + 9x – 18

  14. More Practice: Factoring ax² + bx + c when a is negative A. -2x² – 15x – 7 B. -6x² – 17x – 12

  15. More Practice: Factoring ax² + bx + c when a is negative C. -3x² – 17x – 10 D. -2x² – 5x – 3

  16. Lesson Quiz

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