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________ _________. Factoring Chart This chart will help you to determine which method of factoring to use. Type Number of Terms. 1. GCF 2 or more 2. Diff. Of Squares 2 3. Trinomials 3. Review: (y + 2)(y + 4) Multiply using FOIL. FOIL: Combine like terms. y ² + 4y + 2y + 8 =

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  1. ________ _________

  2. Factoring ChartThis chart will help you to determine which method of factoring to use.TypeNumber of Terms 1. GCF 2 or more 2. Diff. Of Squares 2 3. Trinomials 3

  3. Review: (y + 2)(y + 4)Multiply using FOIL. FOIL: Combine like terms. y² + 4y + 2y + 8 = y² + 6y + 8

  4. ax2 + bx + c * If p and q are factors of ac that add to = b and p > q. x2 + bx + c x2 - bx + c (x+p)(x+q) (x-p)(x-q) x2 + bx – c x2 – bx - c (x+p)(x-q) (x-p)(x+q)

  5. 1) Factor. y2 + 6y + 8Create a table as shown below. Factors of: Multiply the 1st and last coefficients. Sum of: Middle Term Factors of +8 Sum of +6

  6. 1) Factor. y2 + 6y + 8Place the factors in the table. F +8 S +6 +1, +8 +2, +4

  7. 1) Factor. y2 + 6y + 8Which box has a sum of +6? F +8 S +6+1, +8 -1, -8 +2, +4 -2, -4 +9, NO -9, NO +6, YES y Answer: (y + 2)(y + 4) y

  8. 2) Factor. x2 - 2x - 63Put the factors and sum into the table, list the factors, and determine which one is correct. F -63 S -2+1, -63-1, +63 +3, -21-3, +21+7, -9-7, +9 -2, YES

  9. 2) Factor. x2 - 2x - 63 Answer: (x+7)(x-9) 3) Factor 5x2 - 17x + 14 Put the factors and sum into the table.

  10. Factor. 5x2 - 17x + 14 • Factors of: Multiply the 1st and • last coefficients. • Sum of: Middle Term • Factors of +70 Sum of -17

  11. 5x2 + 14 3) Factor. 5x2 - 17x + 14Put the first and last terms into the box as shown.

  12. 5x2 + 14 3) Factor. 5x2 - 17x + 14Put factors of 70 that add to = -17 in the other two boxes. -10x -7x

  13. ax2 c Factor GCF Factor GCF 3) Factor. ax2 - bx + c - + Always take sign of this box Factor GCF + - p Factor GCF + q Always take sign of this box

  14. 5x2 + 14 Factor GCF Factor GCF 3) Factor. 5x2 - 17x + 14 x -2 Always take sign of this box Factor GCF 5x -10x -7 Factor GCF -7x Always take sign of this box

  15. FACTORING QUIZ

  16. Factor. 5x2 - 17x + 14 (x-2)(5x-7) It is not the easiest of things to do, but the more problems you do, the easier it gets! Trust me! • Factor. 2x2 + 9x + 10 (2x + 5)(x + 2)

  17. Factor the trinomials: 5) 6y2 - 13y - 5 (2y-5)(3y+1) 6) 12x2 + 11x – 5 (3x-1)(4x+5) 7) 5x - 6 + x2 1st reorder: x2 + 5x -6 (x-1)(x+6)

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