ࡱ> /1. bjbjWW K55 j4Q!  $#%   !  l0qf>  !!0Q!,A&+2A&A& ]0Q!A& :  Alg 2: Unit 2 Always check for GCF of original polynomial first FACTORING NO Leading Coefficient Trinomials x2 + bx + c = (x + ?) (x + ?) Step #1: Find the factor pair (n1 and n2) that MULTIPLY = c (outside) and ADD = b (middle). Step #2: Split the middle term bx = n1x + n2x Step #3: Perform factor by grouping on x2 + n1x + n2x + c = (x + ?) (x + ?) Exp 1: Factor x2+ 6x + 8 Step #1: 2 4 = 8, 2 + 4 = 6 Step #2: x2 + 2x + 4x + 8 Step #3: x(x+2) + 4(x + 2) (x + 2) (x + 4) Exp 2: Factor 3b2 30b + 48 Original GCF = 3; b2 10b + 16 Step #1: -2 -8 = 16; -2 + -8 = -10 Step #2: b2 2b 8b + 16 Step #3: b(b 2) -8 (b 2) 3(b - 2) (b - 8) Exp 3: Factor x2 + 2xy 15y2 Step #1: -3 5 = -15; -3 + 5 = 2 Step #2: x2 + 5xy 3xy 15y2 Step #3: x(x + 5y) 3y(x +5y) (x + 5y) (x 3y) Factor each completely: Use separate piece of paper as needed 1. x2 + 6x + 5 2. 4a2 + 28a + 40 3. x2 7x + 12 4. x2 11x + 28 5. 2x2 10x 30 6. y2 5y 24 7. x2 + x 56 8. x2 + 10x + 16 9. a2 15a + 50 10. n2 + 8n 9 11. x2 7x 30 12. x2 x 30 13. x2 4xy + 3y2 14. r2 + 13rs 48s2 15. a2 17ab + 60b2 Alg 2: Unit 2 Always check for GCF of original polynomial first FACTORING Leading Coefficient Trinomials ax2 + bx + c = (?x + ?) (?x + ?) Step #1: Find the factor pair (n1 and n2) that MULTIPLY = ac (outside) and ADD = b (middle). Step #2: Split the middle term bx = n1x + n2x Step #3: Perform factor by grouping on ax2 + n1x + n2x + c = (?x + ?) (?x + ?) Exp 1: 6x2 + 17x + 5 ac = 65 = 30 Step #1: 215 = 30; 2 + 15 = 17 Step #2: 6x2 + 2x + 15x + 5 Step #3: 2x(3x + 1) + 5(3x + 1) (2x + 5) (3x + 1) Exp 2: 5z2 7z 6 ac = 5-6 = -30 Step #1: 3-10 = -30; 3 + -10 = -7 Step #2: 5z2 + 3z 10z 6 Step #3: z(5z + 3) 2(5z + 3) (z 2) (5z + 3) Exp 3: 12y2 34y + 14 Overall GCF = 2: 6y2 17y + 7 ac = 67 = 42 Step #1: -3-14 = 42; -3 + -14 = -17 Step #2: 6y2 3y 14y + 7 Step #3: 3y(2y 1) 7(2y 1) 2(3y 7) (2y 1) Factor each completely: Use separate piece of paper as needed 1.  EMBED Equation.3  2.  EMBED Equation.3  3.  EMBED Equation.3  4.  EMBED Equation.3  5.  EMBED Equation.3  6.  EMBED Equation.3  7.  EMBED Equation.3  8.  EMBED Equation.3  9.  EMBED Equation.3  10.  EMBED Equation.3  11.  EMBED Equation.3  12.  EMBED Equation.3  13.  EMBED Equation.3  14.  EMBED Equation.3  15.  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