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Algebra 1

Algebra 1. 8.6 Choosing a Factoring Method. Learning Targets. Language Goal: Students will be able describe an appropriate method for factoring a polynomial . Math Goal: Students will be able to combine methods for factoring a polynomial.

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Algebra 1

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  1. Algebra 1 8.6 Choosing a Factoring Method

  2. Learning Targets • Language Goal: Students will be able describe an appropriate method for factoring a polynomial. • Math Goal: Students will be able to combine methods for factoring a polynomial. • Essential Question: Why is it important to have multiple methods to factor polynomials?

  3. Warm-up

  4. Example Type 1: Determining Whether a Polynomial Is Completely Factored Tell whether the polynomial is completely factored. If not, factor it. A. 2x(x² + 4) B. (2x + 6)(x + 5) C. 5x²(x – 1)

  5. Example Type 1: Determining Whether a Polynomial Is Completely Factored Tell whether the polynomial is completely factored. If not, factor it. D. (4x + 4)(x + 1) E. 3x²(6x – 4) F. (x² + 1)(x – 4)

  6. Example Type 1: Determining Whether a Polynomial Is Completely Factored Tell whether the polynomial is completely factored. If not, factor it. G. 3x(9x² – 4) H. 2(x³ – 2x² – 8x)

  7. Factoring Polynomials Step 1: Check for a greatest common factor. Step 2: Check for a pattern that fits the difference of two squares or a perfect-square trinomial. Step 3: - To factor x² + bx + c, look for two numbers whose sum is b and whose product is c. (Product Sum Method) - To factor ax² + bx + c, check factors of a and factors of c in the binomial factors. The sum of the products of the outer and inner terms should be b. (Boston Method Step 4: Check for common factors

  8. Example Type 2: Factoring by GCF and Recognizing Patterns Factor completely. Check your answer. A.B.

  9. Example Type 2: Factoring by GCF and Recognizing Patterns Factor completely. Check your answer. C. 2x²y – 2y³ D. 10x² + 48x + 32

  10. Example Type 2: Factoring by GCF and Recognizing Patterns Factor completely. Check your answer. E.

  11. Example Type 3: Factoring by Multiple Methods Factor each polynomial completely. A. 2x² + 5x + 4 B. 3n – 15n³ + 12n²

  12. Example Type 3: Factoring by Multiple Methods Factor each polynomial completely. C. D.

  13. Example Type 3: Factoring by Multiple Methods Factor each polynomial completely. E. F.

  14. Example Type 3: Factoring by Multiple Methods Factor each polynomial completely. G.H.

  15. Example Type 3: Factoring by Multiple Methods Factor each polynomial completely. I. J.

  16. Example Type 3: Factoring by Multiple Methods Factor each polynomial completely. K. L.

  17. 1. D 2. E. 3. A 4. B 5. C

  18. Lesson Quiz

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