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Factoring Trinomials

Factoring Trinomials. NEXT. Problem 1. NEXT. Product: x 2 + 6 x + 8 Step 1: Place the x 2 model in the upper-left region. Problem 1. There may be more than one possible configuration. Experiment to determine which configuration will allow the appropriate number of x tiles. NEXT.

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Factoring Trinomials

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  1. Factoring Trinomials NEXT

  2. Problem 1 NEXT Product: x2 + 6x + 8 Step 1: Place the x2 model in the upper-left region.

  3. Problem 1 There may be more than one possible configuration. Experiment to determine which configuration will allow the appropriate number of x tiles. NEXT Product: x2 + 6x + 8 Step 2: Place the unit models in the lower-right region.

  4. Problem 1 This configuration requires 9x tiles. However, it should only have 6x tiles. NEXT Product: x2 + 6x + 8 Step 3: Determine the number of x models needed to complete the rectangle.

  5. Problem 1 This configuration requires 6x tiles. NEXT Product: x2 + 6x + 8 Try another configuration.

  6. Problem 1 x 4 x + 4 x 2 x2 + 6x + 8 = (x + 4)(x + 2) x + 2 NEXT Product: x2 + 6x + 8 Determine the dimensions.

  7. Problem 1 Another perspective: x2 4x x 4 2x 8 x 2 Notice the four regions. NEXT

  8. Problem 1 Let’s use the four regions as another way to determine the factors of x2 + 6x + 8: NEXT

  9. Problem 1 Determine the factors of x2 + 6x + 8: x Step 1: Place x2 in theupper-left region.Determine thefactors of x2 and label the factors. x2 x NEXT

  10. Problem 1 Determine the factors of x2 + 6x + 8: x x2 x 8 Step 2: Place the units inthe lower-right region. NEXT

  11. Problem 1 Determine the factors of x2 + 6x + 8: x x2 x Step 3: Determine possible factors (configurations) for the units. 8 NEXT

  12. Problem 1 Determine the factors of x2 + 6x + 8: x x2 x Step 3: Determine possible factors (configurations) for the units. 8 8 1 NEXT

  13. Problem 1 Determine the factors of x2 + 6x + 8: x 8 8x x2 x Step 4: Label the dimensionsand check the resulting products. x 8 1 8 1 NEXT

  14. Problem 1 Determine the factors of x2 + 6x + 8: x 8 8x x2 x x 8 1 The sum of the two products is 9x. The sum of the two products should be 6x. Try another configuration. NEXT

  15. Problem 1 Determine the factors of x2 + 6x + 8: x x2 x Step 3: Determine possible factors (configurations) for the units. 8 4 2 NEXT

  16. Problem 1 Determine the factors of x2 + 6x + 8: x 4 x x2 8 2 4 Step 4: Label the dimensionsand check the resulting products. 2 NEXT

  17. Problem 1 Determine the factors of x2 + 6x + 8: x 4 4x x2 x 2x 8 2 The sum of the two products is 6x. The sum of the two products should be 6x. This configuration works. NEXT

  18. Problem 1 Determine the factors of x2 + 6x + 8: x 4 4x x2 x 2x 8 2 Use the dimensions to identify the factors. The factors of x2 + 6x + 8 are (x + 2)(x + 4). NEXT

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