2Factoring Chart This chart will help you to determine which method of factoring to use. Type Number of Terms1. GCF 2 or more2. Diff. Of Squares 2Trinomials 3Grouping
3Review: (3y + 2)(y + 4) Multiply using FOIL. Combine like terms.3y² + 12y + 2y + 8 =3y² + 14y + 8y² + (12 + 2)y + (2)(12)How would you get 24 from the 2nd step?*You need the factors of ac that add to = b.
4ax2 + bx + c * If p and q are factors of ac that add to = b and p > q. ax2 + bx + c ax2 - bx + c (x+p)(x+q) (x-p)(x-q) ax2 + bx – c ax2 – bx - c (x+p)(x-q) (x-p)(x+q)
51) Factor. 3y2 + 14y + 8 Create a table as shown below. Factors of ac: Multiply the 1st and last coefficients: 3(8) = 24Sum of b: Middle coefficient: 14Factors of Sum of +141, 242, = 14*3, 84, 6
6now divide or reduce 12 and 2 by your a (a= 3) Factor. 3y2 + 14y + 8( x + 12) (x + 2)now divide or reduce 12 and 2 by your a (a= 3)______33( x + 12) (x + 2) *After you reduce, if there is a number left in the denominator, you take it to the front of the factor.