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5.4 Do Now: Factor completely.

5.4 Do Now: Factor completely. 1.) x 3 – 7x 2 + 10x. Algebra II Elements. 5.4: Factoring Polynomials HW tomorrow: p.357 (10-28 even) Test 5.1-5.4: Thursday, 12/11. Factor by grouping. 1.) x 3 – 3x 2 + 16x – 48 2 .) y 3 + 5y 2 – 9y – 45. Factor by grouping.

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5.4 Do Now: Factor completely.

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  1. 5.4 Do Now: Factor completely. 1.) x3 – 7x2 + 10x

  2. Algebra II Elements 5.4: Factoring Polynomials HW tomorrow: p.357 (10-28 even) Test 5.1-5.4: Thursday, 12/11

  3. Factor by grouping 1.) x3 – 3x2 + 16x – 48 2.) y3 + 5y2 – 9y – 45

  4. Factor by grouping 3.) x3 – 2x2 + 3x – 6 4.) x4 + x3+ 4x + 4

  5. Do Now: Factor 2x8 + 10x5 + 12x2

  6. Algebra II Elements 5.4: Factoring Polynomials HW: p.357 (10-28 even) Test 5.1-5.4: Thursday, 12/11

  7. Factoring Cubes • Sum of Two Cubes a3 + b3 = (a + b)(a2 – a b + b2) • Difference of Two Cubes a3 – b3 = (a – b)(a2 + a b + b2)

  8. Factoring Cubes • Sum of Two Cubes a3 + b3 = (a + b)(a2 – ab + b2) • Difference of Two Cubes a3 – b3 = (a – b)(a2 + ab + b2) Examples: Factor 1.) 8x3 + 64

  9. Factor 1.) 64x3 – 27 2.) x4 – 36

  10. Factor 3.) 125x3 – 1 4.) 54x3 – 128

  11. Algebra II Elements 5.4: Factoring Polynomials HW: p.357 (32-50 even) Test 5.1-5.4: Thursday, 12/11

  12. Factoring • GCF – always check for a GCF first. • Trinomial (3-terms): traditional 2 parenthesis factoring or change to grouping. • Four term polynomial: factor by grouping. • Difference of squares • Cannot factor sum of squares • Sum or Difference of cubes

  13. Solve the equation. 1.) 3x5 + 15x = 18x3

  14. 5.4: Do Now • For each polynomial expression in the table below, classify the expression as a difference of squares, difference of cubes, sum of cubes, or none of these by placing a check mark in all appropriate boxes. Then factor each polynomial completely in the space provided below the table. a. x12 – y6 b. 8x3 + 24y c. x3 + 1

  15. Solve the equation. 2.) 4x5 – 40x3 + 36x = 0

  16. Solve the equation. 3.) -27x3 + 15x2 = -6x4

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