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Warm-Up

Warm-Up. Factor by Grouping 1. x 3 + 2x 2 +3x + 6 2. 3m 3 – 15m 2 – 6m +30 3. x 3 – 2x 2 – 9x + 18. Warm-Up. Factor completely 1. x 3 + 3x 2 +2x 2. 15x 2 +10x+10. Section 10.6: Factoring Trinomials with a ≠ 1. Reverse Box Method. Step 1: Multiply a and c

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Warm-Up

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  1. Warm-Up Factor by Grouping 1. x3 + 2x2 +3x + 6 2. 3m3 – 15m2 – 6m +30 3. x3 – 2x2 – 9x + 18

  2. Warm-Up Factor completely 1. x3 + 3x2 +2x 2. 15x2+10x+10

  3. Section 10.6: Factoring Trinomials with a ≠ 1

  4. Reverse Box Method • Step 1: Multiply a and c • Step 2: Find two numbers that ADD to get b and MULTIPLY to get ac (the # from step 1) • Step 3: Fill in the box using these numbers • Step 4: Use Reverse Box Method by factoring out GCFs of each row/column • Step 5: Multiply it back out to check your answer

  5. Example • Factor 2x2 + 11x + 5

  6. Example • Factor 3x2 – 4x – 7

  7. Example • Factor 25x2 + 20x + 4

  8. Example • Factor 6x2 – 2x – 8

  9. Kick-Out Method • Step 1: Factor GCF • Step 2: Check for trinomials with a ≠ 1 • Step 3: Kick a out to c (multiply) • Step 4: Factor using Add/Multiply method • Step 5: REDUCE! • Step 6: Kick denominator to front

  10. Homework Quiz • Factor as much as possible • 1. • 2. 4y2 – 9 • 3. x2 – 12x + 20 • 4. 5x2 – 45 • 5. 7x2 + 21x + 14

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