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Factoring Part 2

Factoring Part 2. Tuesday, April 1 st. Factoring Warm-Up. In your teams, factor the following: . 9 x 2 – 15x . Factoring Warm-Up. In your teams, factor the following: . x 2 – 11x + 30. Factoring Warm-Up. In your teams, factor the following: . x 2 – 10x – 24 . Factoring Warm-Up.

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Factoring Part 2

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  1. FactoringPart 2 Tuesday, April 1st

  2. Factoring Warm-Up In your teams, factor the following: 9x2 – 15x

  3. Factoring Warm-Up In your teams, factor the following: x2 – 11x + 30

  4. Factoring Warm-Up In your teams, factor the following: x2 – 10x – 24

  5. Factoring Warm-Up In your teams, factor the following: 2x2 + 16x + 14

  6. Factoring Warm-Up In your teams, factor the following: –3x2 + 3x + 6

  7. Factoring Quadratics:Decomposition Method Example: 6x2 + 13x – 5 Step #1: Write out your equation in form Ax2 + Bx + C Step #2: Multiply AC. Now look for a number that multiplies to AC and adds to B. Multiplies to -30 Adds to +13 Numbers are +15 and -2

  8. Factoring Quadratics:Decomposition Method Example: 6x2 + 13x – 5 6x2– 2x + 15x– 5 Multiplies to -30 Adds to +13 Numbers are +15 and -2 Step #3: Re-write the middle term as the addition of the two numbers you found. 6x2 + 13x – 5

  9. Factoring Quadratics:Decomposition Method Example: 6x2 + 13x – 5 6x2– 2x + 15x– 5 Multiplies to -30 Adds to +13 Numbers are +15 and -2 Step #4: Factor the first two terms of the polynomial and the last two terms seperately 2x(3x – 1) + 5(3x – 1)

  10. Factoring Quadratics:Decomposition Method Example: 6x2 + 13x – 5 6x2– 2x + 15x– 5 Multiplies to -30 Adds to +13 Numbers are +15 and -2 2x(3x – 1) + 5(3x – 1) Step #5: Factor the common binomial out.

  11. Factoring Quadratics:Decomposition Method Example: 6x2 + 13x – 5 6x2– 2x + 15x– 5 Multiplies to -30 Adds to +13 Numbers are +15 and -2 2x(3x – 1) + 5(3x – 1) Step #5: Factor the common binomial out. 2x(3x – 1) + 5(3x – 1) (3x – 1)(2x + 5)

  12. Try in your teams Factor: 2x2 + 9x – 5

  13. Summary Sheet & Finishing touches on your project budget Homework: Page 156 #1 – 4 (aceg) Page 163 #1

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